Prof. Dr. Dr. Enrique Zuazua
Email
Partial Differential Equations, Numerical Analysis, Control, Machine Learning, Data Sciences
FAU MoD Spokesperson
Member at FAU MoD, Research Center for Mathematics of Data
Member of the FAU MoD Steering Committee
Friedrich-Alexander-Universität Erlangen-Nürnberg
Chair for Dynamics, Control, Machine Learning and Numerics – Alexander von Humboldt Professorship
Research Gate | ORCID | Google Scholar
FAU profile | LinkedIn
News / Initiatives
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Seventh workshop on thin structures
Date: September 10 – 12, 2026
See more: https://dcn.nat.fau.eu/events/thinstructures7/ -

Benasque XI Workshop-Summer School 2026: Partial differential equations, optimal design and numerics
Date: August 23 – September 04, 2026
See more: https://dcn.nat.fau.eu/benasque-xi-2026/ -

Enrique Zuazua invited to deliver a Special Section Lecture at ICM 2026
Date: July 23 – 30, 2026
See more: https://dcn.nat.fau.eu/events/icm2026-enrique-zuazua-lecture/ -

MLPDES26, Machine Learning and PDEs Workshop (2026)
Date: Mon. – Wed. Jun 22 – 24, 2026
See more: https://mod.fau.eu/events/mlpdes26/ -

EZ 65: Control, PDEs and Machine Learning
Date: Mon. – Thu. Jun 08 – 11, 2026
See more: https://dcn.nat.fau.eu/events/ez65-control-pdes-and-ml/ -

Mathematical Foundations of Machine Learning (MFML 2026)
Date: Mon. – Fri. May 25 – 29, 2026
See more: https://mod.fau.eu/events/mfml2026/ -

CERSEU. Congreso Internacional de Matemática Pura y Aplicada en la Era Moderna
Date: April 01 – 10, 2026
See more: https://dcn.nat.fau.eu/cerseu-fcm-unmsm-congress-april-2026/ -

BNU – Control and Machine Learning: A Mathematical Journey
Date: March 19, 2026
See more: https://dcn.nat.fau.eu/bnu-control-and-machine-learning-a-mathematical-journey/ -

Trends in Mathematical Sciences II (2026)
Date: February 5 – 7, 2026
See more: https://cmc.deusto.eus/enzuazua/trendsinmaths2026/ -

Matemáticas y progreso – El epicentro de todas las ciencias. Matemáticas de lo cotidiano
Date: November 20, 2025
See more: https://cmc.deusto.eus/matematicas-de-lo-cotidiano/ -

A workshop in Speinshart: Scientific center for AI and SuperTech
Date: Tue.-Sun. November 11 – 16, 2025
See more: https://dcn.nat.fau.eu/speinshart-workshop-nov2025/ -

Workshop: The Mathematics of Scientific Machine Learning and Digital Twins
Date: November 19-25, 2025
See more: https://dcn.nat.fau.eu/scimldt/ -

MLDS: Machine Learning, Control Theory, and PDEs: Foundations and Advances from Variational Pathologies to Diffusion Models for Generative AI
Date: Thu. October 30, 2025
See more: https://dcn.nat.fau.eu/mlds-machine-learning-control-theory-and-pdes/ -

2025. PhD Thesis defense by Martín Hernández Salinas. From Optimal Control to Random and Neural Network Approximation
Date: Thu. September 25, 2025
See more: https://dcn.nat.fau.eu/phd-thesis-defense-mhernandez/ -

Inverse design for parabolic and hyperbolic problems
Date: Wed. September 25, 2025
See more: https://dcn.nat.fau.eu/hyperbolic-problems-in-nurnberg-workshop/ -

ACOMEN2025
Date: September 15 – 19, 2025
See more: https://dcn.nat.fau.eu/acomen2025/ -

JLU Short course: PDEs Meet Machine Learning: Integrating Numerics, Control, and Machine Learning by E. Zuazua
Date: Mon.-Wed. July 21-23, 2025
See more: https://dcn.nat.fau.eu/jlu-course-pdes-meet-ml-ezuazua-july2025/ -

CIRM Workshop – HYCO: A Hybrid-Cooperative Strategy for Data-Driven PDE Model Learning
Date: Fri. August 15, 2025
See more: https://dcn.nat.fau.eu/cirm-workshop-hyco-a-hybrid-cooperative-strategy-for-data-driven-pde-model-learning/ -

CIRM Workshop: Mathematical and Computational Foundations of Digital Twins
Date: August 11-15, 2025
See more: https://dcn.nat.fau.eu/cirm-mathematical-and-computational-foundations-of-digital-twins-aug-2025/ -

Workshop on Recent Trends in Applied Mathematics and Machine Learning 2025
Date: Fri.- Sun. July 25 – 27, 2025
See more: https://dcn.nat.fau.eu/workshop-trends-appliedmath-and-ml-2025/ -

ICBS2025: PDEs Meet Machine Learning: Integrating Numerics, Control, and Machine Learning by E. Zuazua
Date: Tue. July 15, 2025
See more: https://dcn.nat.fau.eu/icbs2025/ -

EECI-IGSC 2025 (M18): Control and Machine Learning
Date: June 30 to July 4, 2025
See more: https://dcn.nat.fau.eu/eeci-igsc-2025/ -

LSMS 2025 – PDEs Meet Machine Learning: Integrating Numerics, Control, and Machine Learning by E. Zuazua
Date: Tue. June 24, 2025
See more: https://dcn.nat.fau.eu/lsms-2025-ezuazua/ -

Trends in Mathematical and Data Sciences
Date: June 16 – 20, 2025
See more: https://dcn.nat.fau.eu/tmads25/ -

Machine Learning and PDEs Workshop
Date: April 28 – 30, 2025
See more: https://dcn.nat.fau.eu/mlpdes25/ -

HB Conference: Modelling, Machine Learning and Control
Date: April 9, 2025
See more: https://dcn.nat.fau.eu/hb-conference-modelling-machine-learning-and-control/ -

ICMAT: Control and Machine Learning by E. Zuazua
Date: Fri. April 4, 2025
See more: https://dcn.nat.fau.eu/icmat-control-and-machine-learning-by-e-zuazua/ -

Langtangen Seminar: Control and Machine Learning by E. Zuazua
Date: Tue. April 1, 2025
See more: https://dcn.nat.fau.eu/langtangen-seminar-control-and-machine-learning-by-e-zuazua/ -

The hidden challenge in heat equation control: Slow decay of gramian eigenvalues
Date: March 20, 2025
See more: https://dcn.nat.fau.eu/the-hidden-challenge-in-heat-equation-control-slow-decay-of-gramian-eigenvalues/ -

Frontiers of Mathematics lecture: Control and Machine Learning by E. Zuazua
Date: Wed. February 26, 2025
See more: https://dcn.nat.fau.eu/frontiers-of-mathematics-lecture-2025-control-and-machine-learning-by-e-zuazua/ -

Tracking control
Date: Thu. December 19, 2024
See more: https://dcn.nat.fau.eu/um6p-tracking-control/ -

MathConnect 2024
Date: December 10, 2024
See more: https://dcn.nat.fau.eu/mathconnect-2024/ -

Humboldt Network meeting 2024 (Erlangen)
Date: November 20-22, 2024
See more: https://dcn.nat.fau.eu/humboldt-network-meeting-2024-erlangen/ -

PGMODAYS 2024: Control and Machine Learning
Date: Wed. November 20, 2024
See more: https://dcn.nat.fau.eu/pgmodays-2024/ -

XVII ENAMA: Control and Machine Learning by E. Zuazua
Date: November 6 | November 8, 2024
See more: https://dcn.nat.fau.eu/xvii-enama/ -

ICAMDS24: Control and Machine Learning by E. Zuazua
Date: October 28, 2024
See more: https://dcn.nat.fau.eu/icamds24/ -

Distinguished CMAI Colloquium: Control and Machine Learning
Date: Fri. October 25, 2024
See more: https://dcn.nat.fau.eu/distinguished-cmai-colloquium-control-and-machine-learning/ -

Course: Introduction to Optimal Control and Machine Learning
Date: October 21-23, 2024
See more: Course: Introduction to Optimal Control and Machine Learning -

ICMAM 2024: Data Representation by Neural Networks: A control perspective by E. Zuazua
Date: Fri. October 18, 2024
See more: https://dcn.nat.fau.eu/icmam-2024/ -

100th Session. Seminar in PDEs and Applied Mathematics
Date: Mon. October 7, 2024
See more: https://dcn.nat.fau.eu/100th-seminar-in-pdes-and-applied-mathematics/ -

Control and Machine Learning
Date: Wed. September 11, 2024
See more: https://dcn.nat.fau.eu/nanyang-control-ml-zuazua/ -

Benasque X Workshop-Summer School 2024: Partial differential equations, optimal design and numerics
Date: August 18 – 30, 2024
See more: https://dcn.nat.fau.eu/benasque-2024/ -

Oberwolfach Seminar: Control and Machine Learning
Date: November 24 – 29, 2024
See more: https://dcn.nat.fau.eu/oberwolfach-2448b-nov2024/ -

Course: Control and Machine Learning by E. Zuazua
Date: July 2024
See more: https://dcn.nat.fau.eu/course-control-machine-learning-zuazua/ -

2024. Master Thesis by Arun Sai Thunga
Date: June 30, 2024
See more: https://dcn.nat.fau.eu/ai-based-diagnosis-of-combustion-anomalies-in-hydrogen-engines/ -

CIME summer school on PDEs, Control and Deep Learning
Date: Juky 22-26, 2024
See more: https://dcn.nat.fau.eu/cime-2024/ -

FGS 2024 French-German-Spanish Conference on Optimization 2024
Date: Tue. June 18, 2024
See more: https://dcn.nat.fau.eu/fgs-2024/ -

Trends in Mathematical Sciences
Date: June 10 – 14, 2024
See more: https://dcn.nat.fau.eu/trendsinmaths2024/ -

ML&OC24: Machine Learning and Optimal Control summer school
Date: May 29-30, 2024
See more: https://dcn.nat.fau.eu/mloc24/ -

AvH network meeting • Henriette Herz Scouting Programme
Date: May 13-14, 2024
See more: https://dcn.nat.fau.eu/avh-network-meeting-henriette-herz-scouting-may-2024/ -

ICOP 24: Optimal placement of sensors and actuators
Date: Fri. May 17, 2024
See more: https://dcn.nat.fau.eu/icop-24-optimal-placement-of-sensors-and-actuators/ -

Optimal placement of sensors and actuators
Date: Tue. May 7, 2024
See more: https://dcn.nat.fau.eu/optimal-placement-of-sensors-and-actuators/ -

CIRM VAMMMS Workshop: Variational Analysis, Models and Methods in Measure Spaces
Date: Tue. April 30, 2024
See more: https://dcn.nat.fau.eu/cirm-vammms-workshop-2024/ -

ODL: Introduction to Optimal Control and Machine Learning
Date: Tue.-Thu. March 19 – 21, 2024
See more: https://dcn.nat.fau.eu/odl-2024/ -

EPFL: Control and Machine Learning by E. Zuazua
Date: Fri. March 8, 2024
See more: https://dcn.nat.fau.eu/epfl-anmath-08-mar-2024/ -

Zurich Colloquium in Applied and Computational Mathematics
Date: Wed. March 6, 2024
See more: https://dcn.nat.fau.eu/zurich-colloquium-in-applied-and-computational-mathematics/ -

RAMSA 2024
Date: Thu. February 29, 2024
See more: https://dcn.nat.fau.eu/ramsa2024/ -

Winter school: Model Order Reduction Methods for Control and Machine Learning
Date: Mon. February 26, 2024
See more: https://dcn.nat.fau.eu/winter-school-model-order-reduction-methods-for-control-and-machine-learning/ -

DEDS2024
Date: Mon. February 19, 2024
See more: https://dcn.nat.fau.eu/deds2024/ -

RACP2024: Recent advances in Control Theory of PDE systems
Date: Mon.-Thu. February 12 – 15, 2024
See more: https://dcn.nat.fau.eu/racp2024/ -

Contrôle et apprentissage automatique
Date: Thu. February 15, 2024
See more: https://dcn.nat.fau.eu/controle-et-apprentissage-automatique-15-feb-2024/ -

Synthetic Training Data Generation for Point Cloud Defects
Date: January 29, 2024
See more: https://dcn.nat.fau.eu/synthetic-training-data-generation-for-point-cloud-defects/ -

IUI Conference Mathematical Modeling: Theory and Applications
Date: January 9, 2024
See more: https://dcn.nat.fau.eu/iui-conference-mathematical-modeling-theory-and-applications/ -

IMS 2023 Control and Machine Learning
Date: December 24, 2023
See more: https://dcn.nat.fau.eu/ims-2023-control-and-machine-learning/ -

AI techniques in guidance control problem and space missions – Control and Machine Learning
Date: Wed. December 13, 2023
See more: https://dcn.nat.fau.eu/ai-techniques-in-guidance-control-problem-and-space-missions-control-and-machine-learning/ -

Mathematical Opportunities in Digital Twins (MATH-DT) Workshop
Date: Tue. December 12, 2023
See more: https://dcn.nat.fau.eu/math-dt-workshop-2023/ -

Workshop on recent advances in kinetic theory and related models
Date: Wed. December 6, 2023
See more: https://dcn.nat.fau.eu/workshop-on-recent-advances-in-kinetic-theory-and-related-models/ -

FAU. Beautiful mathematics for Artificial Intelligence
Date: November 27, 2023
See more: https://dcn.nat.fau.eu/fau-beautiful-mathematics-for-artificial-intelligence/ -

FAU MoD Lecture Series. Special November 2023
Date: Wed. November 22, 2023
See more: https://dcn.nat.fau.eu/fau-mod-lecture-series-special-november-2023/ -

Tutorial lecture series on “Advanced Topics Systems Control”
Date: November 23 – 27, 2023
See more: https://dcn.nat.fau.eu/tutorial-lecture-series-on-advanced-topics-systems-control/ -

ICMAM Latam Satellite Conference: Control and Machine Learning
Date: Fri. November 17, 2023
See more: https://dcn.nat.fau.eu/icmam-latam-satellite-conference-control-and-machine-learning/ -

Optimal placement of sensors and actuators
Date: Tue. November 7, 2023
See more: https://dcn.nat.fau.eu/cpdes2023/ -

Virtual meeting BAYLAT – FAU DCN-AvH
Date: October 13, 2023
See more: https://dcn.nat.fau.eu/virtual-meeting-baylat-fau-dcn-avh/ -

JLU: Control, Cybernetics and Artificial Intelligence
Date: Fri. September 15, 2023
See more: https://dcn.nat.fau.eu/jlu-control-cybernetics-and-artificial-intelligence/ -

2023. PhD Thesis defense by Nicola De Nitti. Analysis, control, and singular limits for hyperbolic conservation laws
Date: Mon. July 24, 2023
See more: https://dcn.nat.fau.eu/phd-thesis-defense-by-n-de-nitti/ -

2023. Master thesis by Mohammed Quaidjohar Husain. Machine Learning: Publisher Recommendation Model
Date: July 7, 2023
See more: https://dcn.nat.fau.eu/machine-learning-publisher-recommendation-model/ -

Control, Cibernética e Inteligencia Artificial
Date: May 31, 2023
See more: https://dcn.nat.fau.eu/control-cibernetica-e-inteligencia-artificial/ -

4th AFOSR Monterey Training Workshop on Computational Issues in Nonlinear Control
Date: May 22, 2023
See more: https://dcn.nat.fau.eu/4th-afosr-monterey-training-workshop-on-computational-issues-in-nonlinear-control/ -

2023. Master thesis by Gisele Stephanie Otiobo. Gradient Descent on Wide Neural Networks and Federated Learning
Date: May 20, 2023
See more: https://dcn.nat.fau.eu/gradient-descent-on-wide-neural-networks-and-federated-learning/ -

Numerics, Dynamics, Control and Machine Learning
Date: Wed. May 17, 2023
See more: https://dcn.nat.fau.eu/numerics-dynamics-control-and-machine-learning/ -

Inria International Chairs holder (2023-2027)
Date: May 2023
See more: https://dcn.nat.fau.eu/inria-international-chairs-holder/ -

Optimization and Control in Burgundy
Date: Thu. May 11, 2023
See more: https://dcn.nat.fau.eu/optimization-and-control-in-burgundy/ -

9th International Conference on Modeling, Simulation and Applied Optimization
Date: Thu. April 27, 2023
See more: https://dcn.nat.fau.eu/9th-international-conference-on-modeling-simulation-and-applied-optimization/ -

FernUniversität – Workshop Geometric Aspects of Evolution and Control
Date: Mon. April 17, 2023
See more: https://dcn.nat.fau.eu/fernuniversitat-workshop-geometric-aspects-of-evolution-and-control/ -

WS 2021: CML: Control, Machine Learning and Numerics
Date: Winter Semester 2021/22. April to July 2023
See more: https://dcn.nat.fau.eu/course-cml-control-machine-learning-and-numerics-ss-2022-2023/ -

Course: Wave Phenomena
Date: Summer Semester 2022. April – July 2023
See more: https://dcn.nat.fau.eu/course-wave-phenomena/ -

Course: Scalar Conservation Laws
Date: Summer Semester 2022. April – July 2023
See more: https://dcn.nat.fau.eu/course-scalar-conservation-laws-2023/ -

FAU mathematician receives ERC Advanced Grant
Date: March 31, 2023
See more: https://dcn.nat.fau.eu/fau-mathematician-receives-erc-advanced-grant/ -

Introduction to control and machine learning
Date: Winter Semester 2022/2023. November – December 2022
See more: https://dcn.nat.fau.eu/course-introduction-to-control-and-machine-learning-ws-2022-2023/ -

II Workshop on Control Theory and Partial Differential Equations
Date: Thu. October 26, 2022
See more: https://dcn.nat.fau.eu/ii-workshop-on-control-theory-and-pde-control-and-ml-by-ezuazua/ -

Course: Mathematical Modeling in the Life Sciences
Date: Winter Semester 2022/2023. October 2022 – March 2023
See more: https://dcn.nat.fau.eu/course-mathematical-modeling-in-the-life-sciences-2022/ -

Course: Transport Phenomena
Date: Winter Semester 2022/2023. October 2022 – March 2023
See more: https://dcn.nat.fau.eu/course-transport-phenomena-2022/ -

Control and Machine Learning by Enrique Zuazua at SIAM News
Date: October 03, 2022
See more: https://dcn.nat.fau.eu/control-and-machine-learning-by-enrique-zuazua-at-siam-news/ -

Course: A Practical Introduction to Control, Numerics, and Machine Learning (IFAC CPDE 2022)
Date: Summer 2022
See more: https://dcn.nat.fau.eu/course-a-practical-introduction-to-control-numerics-and-machine-learning-ifac-cpde-2022/ -

M4CSA: Control and Machine Learning by E. Zuazua
Date: Tue. September 6, 2022
See more: https://dcn.nat.fau.eu/m4csa-control-and-machine-learning-by-e-zuazua/ -

Optimal shape design of sensors via a geometric approach
Date: September 1, 2022
See more: https://dcn.nat.fau.eu/poster-optimal-shape-design-of-sensors-via-a-geometric-approach/ -

Course: Control and optimization for non-local and fractional differential equations
Date: August 1st – August 12nd, 2022
See more: https://dcn.nat.fau.eu/course-control-and-optimization-for-non-local-and-fractional-differential-equations/ -

Enrique Zuazua: 2022 W.T. and Idalia Reid Prize by SIAM
Date: July 13, 2022
See more: https://dcn.nat.fau.eu/enrique-zuazua-2022-w-t-and-idalia-reid-prize/ -

Optimal design of sensors and actuators by E. Zuazua
Date: Tue. June 14, 2022
See more: https://dcn.nat.fau.eu/optimal-design-of-sensors-and-actuators-by-e-zuazua/ -

FAU DCN-AvH at the visit of the Embassy of Uruguay in Erlangen (BAYLAT)
Date: Mon. April 25, 2022
See more: https://dcn.nat.fau.eu/fau-dcn-avh-at-the-visit-of-the-embassy-of-uruguay-in-erlangen-baylat/ -

Modeling, Simulation and Optimization SS 2021/2022 (practical course)
Date: Summer Semester 2021/2022. April 25, 2022 – March 2023
See more: https://dcn.nat.fau.eu/course-modeling-simulation-and-optimization-ss-2021-2022/ -

Course: Modeling and Analysis in Continuum Mechanics 2
Date: Summer semester 2021/2022. April 25, 2022 – March 2023
See more: https://dcn.nat.fau.eu/course-modeling-and-analysis-in-continuum-mechanics-2-2022/ -

Course: Scalar Conservation Laws
Date: Summer semester. April – July 2022
See more: https://dcn.nat.fau.eu/course-scalar-conservation-laws-2022/ -

Course: Control, Machine Learning and Numerics (2022)
Date: Summer semester 2021/2022
See more: https://dcn.nat.fau.eu/course-control-machine-learning-and-numerics-2022/ -

Benasque Workshop-Summer School 2022: PDE’s, Optimal Design and Numerics
Date: Sun.- Fri. August 21 – September 02, 2022
See more: https://dcn.nat.fau.eu/events/benasque-workshop-summer-school-pdes-optimal-design-and-numerics/ -

EECI-IGSC 2022: Machine Learning, Optimization and Control by Prof. E. Zuazua and Prof. X. Yuan
Date: Tue.-Mon. Mar 01 – 28, 2022
See more: https://dcn.nat.fau.eu/events/eeci-igsc-2022-machine-learning-optimization-and-control-by-prof-e-zuazua-and-prof-x-yuan/ -

Book: Optimization and Control for Partial Differential Equations
Date: March, 2022
See more: https://dcn.nat.fau.eu/book-optimization-and-control-for-partial-differential-equations/ -

Contrôle et apprentissage automatique
Date: March 10, 2022 (4 weeks)
See more: https://dcn.nat.fau.eu/controle-et-apprentissage-automatique/ -

LAMSIN Seminar: Control and Machine Learning
Date: Wed. February 2, 2022
See more: https://dcn.nat.fau.eu/lamsin-seminar-control-and-machine-learning/ -

pyGasControls library (simulation software)
Date: January 3, 2022
See more: https://dcn.nat.fau.eu/pygascontrols-library-simulation-software/ -

Visiting BAYLAT
Date: November 25, 2021
See more: https://dcn.nat.fau.eu/visiting-baylat/ -

FAU Welcome 2021
Date: November 9, 2021
See more: https://dcn.nat.fau.eu/fau-welcome-2021/ -

Workshop on Non-Linear Analysis and Control Theory in honor of Prof. Enrique Zuazua
Date: Wed. – Fri. Nov 03 – 05, 2021
See more: After the event | https://dcn.nat.fau.eu/events/workshop-on-non-linear-analysis-and-control-theory-in-honor-of-prof-enrique-zuazua/ -

Course: Modeling and Analysis in Continuum Mechanics 1
Date: Winter semester 2021/2022
See more: https://dcn.nat.fau.eu/course-modeling-and-analysis-in-continuum-mechanics-1-2021/ -

Course: Transport Phenomena
Date: October 2021 – March 2022
See more: https://dcn.nat.fau.eu/course-transport-phenomena-2021/ -

FAU DCN-AvH and MoD kick-off
Date: October 8, 2021
See more: https://dcn.nat.fau.eu/fau-dcn-avh-and-mod-kickoff/ -

In honor of Enrique Zuazua’s 60th. Birthday
Date: September 28, 2021
See more: https://dcn.nat.fau.eu/in-honor-of-enrique-zuazuas-60th-birthday/ -

Control, Machine Learning and Numerics -Course (China) by E. Zuazua (Complete)
Date: July 9 – 26, 2021 (4 weeks)
See more: https://dcn.nat.fau.eu/summer-course-china-by-e-zuazua/ -

Summer short course (China) 4/4: Control, Machine Learning and Numerics by E. Zuazua
Date: July 9 – 26, 2021 (4 weeks)
See more: https://dcn.nat.fau.eu/summer-short-course-china-4-4-control-machine-learning-and-numerics-by-e-zuazua/ -

Summer short course (China) 3/4: Control, Machine Learning and Numerics by E. Zuazua
Date: July 9 – 26, 2021 (4 weeks)
See more: https://dcn.nat.fau.eu/summer-short-course-china-3-4-control-machine-learning-and-numerics-by-e-zuazua/ -

Summer short course (China) 2/4: Control, Machine Learning and Numerics by E. Zuazua
Date: July 9 – 26, 2021 (4 weeks)
See more: https://dcn.nat.fau.eu/summer-short-course-china-2-4-control-machine-learning-and-numerics-by-e-zuazua/ -

Summer short course (China) 1/4: Control, Machine Learning and Numerics by E. Zuazua
Date: July 9 – 26, 2021 (4 weeks)
See more: https://dcn.nat.fau.eu/summer-short-course-china-1-4-control-machine-learning-and-numerics-by-e-zuazua/ -

INdAM Workshop 2021: “Analysis and Numerics of Design, Control and Inverse Problems”
Date: Thu. – Wed. Jul 01 – 07, 2021
See more: https://dcn.nat.fau.eu/events/indam-workshop-2021-analysis-and-numerics-of-design-control-and-inverse-problems/ -

OCA’21 Online CIMPA School: Control, Numerics and Machine Learning by E. Zuazua
Date: June 28 – July 3, 2021
See more: https://dcn.nat.fau.eu/oca21-online-cimpa-school-control-numerics-and-machine-learning-by-e-zuazua/ -

Ambassador meets ambassador | Botschafter trifft Botschafter
Date: June 2021
See more: https://dcn.nat.fau.eu/ambassador-meets-ambassador-botschafter-trifft-botschafter/ -

Control of Advection-Diffusion Equations on Networks and Singular Limits
Date: June 30, 2021
See more: https://dcn.nat.fau.eu/control-of-advection-diffusion-equations-on-networks-and-singular-limits/ -

ConDyS – Workshop on Control of Dynamical Systems
Date: Mon. – Wed. Jun 14 – 16, 2021
See more: https://dcn.nat.fau.eu/events/condys-workshop-on-control-of-dynamical-systems/ -

Dynamics and Control of a guiding Model – ConDyS workshop 2021
Date: Mon. Jun 14, 2021
See more: https://dcn.nat.fau.eu/events/dynamics-and-control-of-a-guiding-model-condys-workshop-2021/ -

Networks, Waves and Control
Date: Wed. Jun 09, 2021
See more: https://dcn.nat.fau.eu/events/networks-waves-and-control/ -

Computational Strategies for the Control of Collective Dynamics
Date: Fri. May 28, 2021
See more: https://dcn.nat.fau.eu/events/computational-strategies-for-the-control-of-collective-dynamics/ -

Enrique Zuazua: TOP TALENT CIENCIA
Date: Wed. May 26, 2021
See more: https://dcn.nat.fau.eu/enrique-zuazua-top-talent-ciencia/ -

Paris Bachelier Seminar: Turpike Control and Machine Learning
Date: Fri. May 21, 2021
See more: https://dcn.nat.fau.eu/events/paris-bachelier-seminar-turpike-control-and-machine-learning/ -

Workshop on Control Theory and Partial Differential Equations
Date: Mon. May 24, 2021
See more: https://dcn.nat.fau.eu/events/workshop-on-control-theory-and-partial-differential-equations/ -

Workshop on Control Theory and Partial Differential Equations
Date: Mon. May 24, 2021
See more: https://dcn.nat.fau.eu/workshop-on-control-theory-and-partial-differential-equations/ -

FAU StudOn AG Neural Differential Equations, Control and Machine Learning
Date: Tue. May 11, 2021
See more: https://dcn.nat.fau.eu/fau-studon-ag-neural-differential-equations-control-and-machine-learning/ -

Neural Differential Equations, Control and Machine Learning
Date: Mon. April 26, 2021
See more: https://dcn.nat.fau.eu/neural-differential-equations-control-and-machine-learning/ -

Günter Leugering’s Farewell/Abschiedsfeier
Date: Fri. March 26, 2021
See more: https://dcn.nat.fau.eu/gunter-leugerings-farewell-abschiedsfeier/ -

Cafés Scientifique de la Culture: “Hire me, I’m a mathematician – March 25th, 2021
Date: Thu. Mar 25, 2021
See more: https://dcn.nat.fau.eu/events/cafes-scientifique-de-la-culture-hire-me-im-a-mathematician/ -

Chaire Jean-Morlet 2021: Dynamics and Control of a guiding Model
Date: Mon. March 22, 2021
See more: https://dcn.nat.fau.eu/chaire-jean-morlet-2021-dynamics-and-control-of-a-guiding-model/ -

Unilateral bounds for nonlinear semigroups and time-inversion
Date: Mon. March 8, 2021
See more: https://dcn.nat.fau.eu/unilateral-bounds-for-nonlinear-semigroups-and-time-inversion/ -

Coloquio MTM UFSC: Inverse design for conservation laws and Hamilton-Jacobi equations
Date: Fri. March 5th, 2021
See more: https://dcn.nat.fau.eu/coloquio-mtm-ufsc-inverse-design-for-conservation-laws-and-hamilton-jacobi-equations/ -
Trends in Mathematical Modelling, Simulation and Optimisation: Theory and Applications
Date: March 2 – 3, 2021
See more: https://www.trr154.fau.de/program/ -

Model predictive control with random batch methods for a guiding problem
Date: March 1, 2021
See more: https://dcn.nat.fau.eu/poster-model-predictive-control-with-random-batch-methods-for-a-guiding-problem/ -

Sparse Initial Source Identification for a Diffusion – Advection Equation
Date: March 1, 2021
See more: https://dcn.nat.fau.eu/poster-sparse-initial-source-identification-for-a-diffusion-advection-equation/ -

Non-local PDE and Control
Date: March 1, 2021
See more: https://dcn.nat.fau.eu/poster-non-local-pde-and-control/ -

Long Time Control
Date: March 1, 2021
See more: https://dcn.nat.fau.eu/poster-long-time-control/ -

Inverse Design for Conservation Laws and Hamilton-Jacobi Equations
Date: March 1, 2021
See more: https://dcn.nat.fau.eu/poster-inverse-design-for-conservation-laws-and-hamilton-jacobi-equations/ -

Machine learning via control of Neural ODEs
Date: March 1, 2021
See more: https://dcn.nat.fau.eu/poster-machine-learning-via-control-of-neural-odes/ -

System Identification by Koopman Operators: Quantitative Analysis
Date: March 1, 2021
See more: https://dcn.nat.fau.eu/poster-system-identification-by-koopman-operators-quantitative-analysis/ -

Stochastic Simulation and Optimization for Dynamical Systems
Date: March 1, 2021
See more: https://dcn.nat.fau.eu/poster-stochastic-simulation-and-optimization-for-dynamical-systems/ -

36th SIDIM – Research in Mathematics
Date: Fri. – Sat. Feb 26 – 27, 2021
See more: https://dcn.nat.fau.eu/events/36th-sidim-research-in-mathematics/ -
IEMSC-21 Neural Differential Equations, Control and Machine Learning. Plenary Speech by Enrique Zuazua
Date: Fri.-Sun. Feb 5 – 7, 2021
See more: PDF | https://cmc.deusto.eus/events-calendar/iemsc-21-neural-differential-equations-control-and-machine-learning-plenary-speech-by-enrique-zuazua/ -

Open World PDE Seminar: Inverse design for conservation laws and Hamilton–Jacobi equations
Date: Tue. February 2, 2021
See more: https://dcn.nat.fau.eu/open-world-pde-seminar-inverse-design-for-conservation-laws-and-hamilton-jacobi-equations/ -

Averaged dynamics and control for heat equations with random diffusion
Date: January 11, 2021
See more: https://dcn.nat.fau.eu/averaged-dynamics-and-control-for-heat-equations-with-random-diffusion/ -

Master PDE course – Partial Differential Equations, Control and Numerics
Date: December 13, 2020
See more: https://dcn.nat.fau.eu/master-pde-course-partial-differential-equations-control-and-numerics/ -

Turnpike Control and Deep Learning
Date: Thu. Dec 10, 2020
See more: https://dcn.nat.fau.eu/events/turnpike-control-and-deep-learning/ -

Inverse design for conservation Laws and Hamilton-Jacobi equations
Date: Sat. Dec 05, 2020
See more: https://dcn.nat.fau.eu/events/inverse-design-for-conservation-laws-and-hamilton-jacobi-equations/ -

Reaction-diffusion in Social and Biological Sciences: Dynamics and ResNet Control by Enrique Zuazua
Date: Tue. Nov 03, 2020
See more: https://dcn.nat.fau.eu/events/reaction-diffusion-in-social-and-biological-sciences-dynamics-and-resnet-control-by-enrique-zuazua/ -

Course: Modeling and Analysis in Continuum Mechanics 1
Date: October 13, 2020
See more: https://dcn.nat.fau.eu/course-modeling-and-analysis-in-continuum-mechanics-1-2020/ -

Machine Learning and Control Theory Research Cluster by E. Zuazua
Date: Tue. Oct 06, 2020
See more: https://dcn.nat.fau.eu/events/machine-learning-and-control-theory-research-cluster-by-e-zuazua/ -
Control y Diseño Óptimo de Estructuras y Fluidos by Enrique Zuazua
Date: Thu. Oct 01, 2020
See more: https://dcn.nat.fau.eu/events/control-y-diseno-optimo-de-estructuras-y-fluidos-by-enrique-zuazua/ -

2nd Symposium on Machine Learning and Dynamical Systems
Date: Mon 21st Sep 2020 – Fri 2nd Oct 2020
See more: https://cmc.deusto.eus/events-calendar/2nd-symposium-on-machine-learning-and-dynamical-systems/ -

Seminar on PDE and Applied Mathematics
Date: Wed. Sep 23, 2020
See more: https://dcn.nat.fau.eu/events/seminar-on-pde-and-applied-mathematics/ -

Inverse Design for Hamilton-Jacobi Equations
Date: September 14, 2020
See more: https://dcn.nat.fau.eu/inverse-design-for-hamilton-jacobi-equations/ -

Flows on Networks
Date: July 9, 2020
See more: https://dcn.nat.fau.eu/flows-on-networks/ -

Audio. ‘Espainiako Gobernuak emandako datuak ez dira aski pandemiaren bilakaera iragartzeko’
Date: May 10, 2020
See more: https://cmc.deusto.eus/enzuazua/espainiako-gobernuak-emandako-datuak-ez-dira-aski-pandemiaren-bilakaera-iragartzeko/ -

Course: Partial Differential Equation, Control, and Numerics
Date: April 13, 2020
See more: https://dcn.nat.fau.eu/course-partial-differential-equation-control-and-numerics-2020/ -

Txopitea eta Pakea 2020
Date: January 3, 2020
See more: https://dcn.nat.fau.eu/txopitea-eta-pakea-2020/ -

Humboldt Professorship 2019
Date: December 3, 2018
See more: https://dcn.nat.fau.eu/humboldt-professorship-2019/
Publications
2026
- , :
Controllability of diffusive Lotka – Volterra strongly competitive systems under boundary constrained controls
(2026) - , , :
Exact Sequence Classification with Transformers (Conference contribution, accepted)
URL: https://arxiv.org/abs/2502.02270 - , , :
Exact Sequence Interpolation with Transformers
(2026) - , , :
Boundary and interior control in a diffusive Lotka-Volterra model
In: Journal of Differential Equations 466 (2026), Article No.: 114257
ISSN: 0022-0396
DOI: 10.1016/j.jde.2026.114257 - , , , , , :
Fair feature attribution for multi-output prediction: A Shapley-based perspective
(2026) - , , :
Boundary observation and control for fractional heat and wave equations
(2026)
Open Access: https://doi.org/10.48550/arXiv.2504.17413 - , , , , :
Exponential convergence to steady-states for trajectories of a damped dynamical system modelling adhesive strings
In: Mathematical Models & Methods in Applied Sciences (2026)
ISSN: 0218-2025
Open Access: https://dcn.nat.fau.eu/wp-content/uploads/CocDNMadOrlZua-231029.pdf - , , :
Computational performance of the MMOC in the inverse design of the Doswell frontogenesis equation
(2026)
URL: https://arxiv.org/abs/2210.03798 - , :
Constructive Universal Approximation and Finite Sample Memorization by Narrow Deep Relu Networks
(2026) - , , , :
A Structure-Preserving Numerical Scheme for Optimal Control and Design of Mixing in Incompressible Flows
(2026) - , , , , :
Deep Neural ODE Operator Networks for PDEs
In: Mathematical Models & Methods in Applied Sciences (2026)
ISSN: 0218-2025
DOI: 10.1142/S0218202526420054 - , :
Analysis and numerical solvability of backward-forward conservation laws
(2026)
DOI: 10.1137/22m1478720
URL: https://dcn.nat.fau.eu/wp-content/uploads/AnalysisNumSolvability_tLiardEZuazua.pdf - , , :
A Potential Game Perspective in Federated Learning
(2026)
DOI: 10.48550/arXiv.2411.11793
URL: https://arxiv.org/abs/2411.11793 - , :
A PDE Perspective on Generative Diffusion Models
(2026)
URL: https://dcn.nat.fau.eu/wp-content/uploads/Diffusion-Models-Kang-Zuazua.pdf - , , :
Constrained control of gene-flow models
(2026)
DOI: 10.4171/aihpc/52
URL: https://dcn.nat.fau.eu/wp-content/uploads/ControlHeterogeneousV5.pdf - , :
Control of reaction-diffusion models in biology and social sciences
(2026)
DOI: 10.3934/mcrf.2022032
URL: https://dcn.nat.fau.eu/wp-content/uploads/NotesSichuan-DRuizBalet_EZuazua.pdf - , :
Control of a Lotka-Volterra system with weak competition
26 (2026), p. 27-62
DOI: 10.4310/CIS.260128103826 - , , :
Approximate and Weighted Data Reconstruction Attack in Federated Learning
(2026)
URL: https://arxiv.org/abs/2308.06822 - :
Control and Machine Learning
Open Access: https://dcn.nat.fau.eu/wp-content/uploads/EZuazua_COIA_ControlnML.pdf - :
Fourier series and sidewise profile control of 1-d waves
(2026)
Open Access: https://arxiv.org/abs/2308.04906 - :
Fourier series and sidewise profile control of 1-d waves
(2026)
Open Access: https://dcn.nat.fau.eu/wp-content/uploads/zuazua_meyer_2023.pdf - , , :
Cluster-based classification with neural ODEs via control
(2026)
DOI: 10.4208/jml.241114
2025
- , , :
Clustering in Pure-Attention Hardmax Transformers and its Role in Sentiment Analysis
In: SIAM Journal on Mathematics of Data Science 7 (2025)
ISSN: 2577-0187
DOI: 10.1137/24M167086X
URL: https://arxiv.org/abs/2407.01602 - , , , , :
Control of Hyperbolic and Parabolic Equations on Networks and Singular limits
In: Vol 15, No. 1, Mathematical Control and Related Fields, 2025, p. 348-389
DOI: 10.3934/mcrf.2024015
URL: https://hal.science/hal-03233211 - , :
Boundary sidewise observability of the wave equation
In: Journal of the European Mathematical Society (2025)
ISSN: 1435-9855
DOI: 10.4171/JEMS/1688
URL: https://dcn.nat.fau.eu/wp-content/uploads/Dehman-Zuazua.pdf - , :
Analysis and Numerics of Design, Control and Inverse Problems. Springer Nature Singapore
Springer Nature Singapore, 2025
(Springer INdAM Series)
ISBN: 978-981-96-6181-7
DOI: 10.1007/978-981-96-6182-4
URL: https://link.springer.com/book/10.1007/978-981-96-6182-4 - , , :
FedADMM-InSa: An Inexact and Self-Adaptive ADMM for Federated Learning
In: Neural Networks 181 (2025), Article No.: 106772
ISSN: 0893-6080
DOI: 10.1016/j.neunet.2024.106772
2024
- , , , , :
Exponential convergence to steady-states for trajectories of a damped dynamical system modeling adhesive strings
In: Mathematical Models & Methods in Applied Sciences (2024)
ISSN: 0218-2025
DOI: 10.1142/S021820252450026X - , , , , , :
Finite Element Approximation of the Hardy Constant
In: Journal of Convex Analysis 31 (2024), p. 497-523
ISSN: 0944-6532 - , :
Eigenvalue bounds for the Gramian operator of the heat equation
In: Automatica 164 (2024), p. 111-653
ISSN: 0005-1098
DOI: 10.1016/j.automatica.2024.111653
URL: https://dcn.nat.fau.eu/wp-content/uploads/2nd_version-gram-lyapunov-autom.pdf - , :
Control of neural transport for normalising flows
In: Journal De Mathematiques Pures Et Appliquees 181 (2024), p. 58-90
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2023.10.005 - :
Exact Controllability and Stabilization of the Wave Equation
Cham: Springer Nature, 2024
(UNITEXT - La Matematica per il 3 piu 2, Vol.162)
ISBN: 978-3-031-58857-0
DOI: 10.1007/978-3-031-58857-0
URL: https://link.springer.com/book/10.1007/978-3-031-58857-0 - (ed.):
Fourier series and sidewise control of 1-d waves
2024
(Volume in honor of Yves Meyer, Documents Mathématiques of the French Mathematical Society (SMF), Vol. 22)
Open Access: https://dcn.nat.fau.eu/wp-content/uploads/zuazua_meyer_2023.pdf
URL: https://arxiv.org/abs/2308.04906
2023
- , , , :
A Two-Stage Numerical Approach for the Sparse Initial Source Identification of a Diffusion-Advection Equation
In: Inverse Problems (2023)
ISSN: 0266-5611
DOI: 10.48550/arXiv.2202.01589
URL: https://arxiv.org/abs/2202.01589 - , :
ANALYSIS AND NUMERICAL SOLVABILITY OF BACKWARD-FORWARD CONSERVATION LAWS
In: SIAM Journal on Mathematical Analysis 55 (2023), p. 1949-1968
ISSN: 0036-1410
DOI: 10.1137/22M1478720 - , , :
Constrained control of gene-flow models
In: Annales de l'Institut Henri Poincaré - Analyse Non Linéaire 40 (2023), p. 717-766
ISSN: 0294-1449
DOI: 10.4171/AIHPC/52 - , :
A quantitative analysis of Koopman operator methods for system identification and predictions
In: Comptes Rendus Mecanique 351 (2023), p. 1-31
ISSN: 1631-0721
DOI: 10.5802/crmeca.138
URL: https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.138/
2022
- , , :
Control and Numerical approximation of Fractional Diffusion Equations
In: Handbook of Numerical Analysis (2022), Article No.: 1570-8659
ISSN: 1570-8659
DOI: 10.1016/bs.hna.2021.12.001
URL: https://dcn.nat.fau.eu/wp-content/uploads/BiccariWarmaZuazua_fractionalControl.pdf - , , , , , , , :
CONTROL AND ANALYSIS OF PARTIAL DIFFERENTIAL EQUATIONS
2022 - , , , , , , :
CONTROL AND ANALYSIS OF PARTIAL DIFFERENTIAL EQUATIONS
In: Mathematical Reports 24 (2022), p. 1-2
ISSN: 1582-3067 - , :
Differentiability with respect to the initial condition for Hamilton-Jacobi equations
In: SIAM Journal on Mathematical Analysis 54 (2022), p. 5388-5423
ISSN: 0036-1410
DOI: 10.1137/22M1469353 - , :
Differentiability With Respect To The Initial Condition For Hamilton-jacobi Equations
In: SIAM Journal on Mathematical Analysis 54 (2022), p. 5388-5423
ISSN: 0036-1410
DOI: 10.1137/22M1469353 - , , , , :
An energy-based vibration model for beam bridges with multiple constraints
In: Structural Engineering and Mechanics 82 (2022), p. 41-53
ISSN: 1225-4568
DOI: 10.12989/sem.2022.82.1.041 - , :
Control of certain parabolic models from biology and social sciences
In: Mathematical Control and Related Fields 12 (2022), p. 955-1038
ISSN: 2156-8472
DOI: 10.3934/mcrf.2022032
(online publication) - , :
A framework for randomized time-splitting in linear-quadratic optimal control
In: Numerische Mathematik 151 (2022), p. 495–549
ISSN: 0029-599X
DOI: 10.1007/s00211-022-01290-3
URL: https://link.springer.com/article/10.1007/s00211-022-01290-3 - :
Control and Machine Learning
In: SIAM News 55 (2022)
ISSN: 1557-9573
2021
- , :
Averaged dynamics and control for heat equations with random diffusion
In: Systems & Control Letters 158 (2021), Article No.: 105055
ISSN: 0167-6911
DOI: 10.1016/j.sysconle.2021.105055 - , :
Controllability of one-dimensional viscous free boundary flows
In: SIAM Journal on Control and Optimization 59 (2021), p. 1830-1850
ISSN: 0363-0129
DOI: 10.1137/19M1285354 - , :
Classical system theory revisited for turnpike in standard state space systems and impulse controllable descriptor systems
In: SIAM Journal on Control and Optimization 59 (2021), p. 3600-3624
ISSN: 0363-0129
DOI: 10.1137/20M1356105 - , :
Classical system theory revisited for Turnpike in standard state space systems and impulse controllable descriptor systems
In: SIAM Journal on Control and Optimization 59 (2021), p. 3600-3624
ISSN: 0363-0129
DOI: 10.1137/20M1356105
URL: https://dcn.nat.fau.eu/wp-content/uploads/heiland-zuazua.pdf - , , :
Flow decomposition for heat equations with memory
In: Journal De Mathematiques Pures Et Appliquees (2021)
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2021.11.005
URL: https://www.sciencedirect.com/science/article/pii/S0021782421001665
2020
- , , :
Controllability of the one-dimensional fractional heat equation under positivity constraints
In: Communications on Pure and Applied Analysis 19 (2020), p. 1949-1978
ISSN: 1534-0392
DOI: 10.3934/cpaa.2020086 - , :
A Stochastic Approach to the Synchronization of Coupled Oscillators
In: Frontiers in Energy Research 8 (2020)
ISSN: 2296-598X
DOI: 10.3389/fenrg.2020.00115 - , :
A stochastic approach to the synchronization of coupled oscillators
(2020)
DOI: 10.3389/fenrg.2020.00115
(online publication) - , :
Asymptotic behavior and control of a "guidance by repulsion" model
In: Mathematical Models & Methods in Applied Sciences (2020)
ISSN: 0218-2025
DOI: 10.1142/S0218202520400047 - , :
Control under constraints for multi-dimensional reaction-diffusion monostable and bistable equations
In: Journal De Mathematiques Pures Et Appliquees (2020)
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2020.08.006
2019
- , , :
A two-dimensional flea on the elephant phenomenon and its numerical visualization
In: Multiscale Modeling & Simulation 17 (2019), p. 137-166
ISSN: 1540-3459
DOI: 10.1137/18M1179985 - , , :
Dynamics and control for multi-agent networked systems: A finite-difference approach
In: Mathematical Models & Methods in Applied Sciences 29 (2019), p. 755-790
ISSN: 0218-2025
DOI: 10.1142/S0218202519400050 - , :
Controllability of one-dimensional viscous free boundary flows
(2019)
(online publication) - , :
Controllability of shadow reaction-diffusion systems
In: Journal of Differential Equations (2019)
ISSN: 0022-0396
DOI: 10.1016/j.jde.2019.10.012 - , , :
Controllability and positivity constraints in population dynamics with age structuring and diffusion
In: Journal De Mathematiques Pures Et Appliquees 129 (2019), p. 153-179
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2018.12.006 - , , :
Controllability of a class of infinite dimensional systems with age structure
In: Control and Cybernetics 48 (2019), p. 231-260
ISSN: 0324-8569 - , :
Adjoint computational methods for 2D inverse design of linear transport equations on unstructured grids
In: Computational and Applied Mathematics 38 (2019), Article No.: 168
ISSN: 2238-3603
DOI: 10.1007/s40314-019-0935-0 - , :
Controllability Under Positivity Constraints of Multi-d Wave Equations
In: Fatiha Alabau-Boussouira, Fabio Ancona, Alessio Porretta, Carlo Sinestrari (ed.): Trends in Control Theory and Partial Differential Equations, Springer International Publishing, 2019, p. 195-232 (Springer INdAM Series, Vol.32)
ISBN: 978-3-030-17949-6
DOI: 10.1007/978-3-030-17949-6_11 - , , :
Constrained control of bistable reaction-diffusion equations: Gene-flow and spatially heterogeneous models
(2019)
(online publication) - , :
A Parabolic Approach to the Control of Opinion Spreading
In: Arkadi Berezovski, Tarmo Soomere (ed.): Applied Wave Mathematics II, Springer, 2019, p. 343-363 (Mathematics of Planet Earth, Vol.6)
ISBN: 978-3-030-29950-7
DOI: 10.1007/978-3-030-29951-4 - , :
Control under constraints for multi-dimensional reaction-diffusion monostable and bistable equations
(2019)
DOI: 10.1016/j.matpur.2020.08.006
(online publication)
2018
- , :
Controllability under positivity constraints of semilinear heat equations
In: Mathematical Control and Related Fields 8 (2018), p. 935-964
ISSN: 2156-8472
DOI: 10.3934/mcrf.2018041 - , , :
Allee optimal control of a system in ecology
In: Mathematical Models & Methods in Applied Sciences 28 (2018), p. 1665-1697
ISSN: 0218-2025
DOI: 10.1142/S021820251840002X
2017
- , , :
Addendum: Local Elliptic Regularity for the Dirichlet Fractional Laplacian
In: Advanced Nonlinear Studies 17 (2017), p. 837-839
ISSN: 1536-1365
DOI: 10.1515/ans-2017-6020 - , :
Filtered gradient algorithms for inverse design problems of one-dimensional burgers equation
In: Laurent Gosse, Roberto Natalini (ed.): Innovative Algorithms and Analysis, Springer International Publishing, 2017, p. 197-227 (Springer INdAM Series, Vol.16)
ISBN: 978-3-319-49262-9
DOI: 10.1007/978-3-319-49262-9_7 - , :
Decay rates for elastic-thermoelastic star-shaped networks
In: Networks and Heterogeneous Media 12 (2017), p. 461-488
ISSN: 1556-1801
DOI: 10.3934/nhm.2017020 - , :
A generic uniqueness result for the stokes system and its control theoretical consequences
In: Paolo Marcellini, Giorgio G. Talenti, Edoardo Vesentini (ed.): Partial Differential Equations and Applications: Collected Papers in Honor of Carlo Pucci, CRC Press, 2017, p. 221-235
DOI: 10.1201/9780203744369 - , :
Averaged controllability of parameter dependent conservative semigroups
In: Journal of Differential Equations 262 (2017), p. 1540-1574
ISSN: 0022-0396
DOI: 10.1016/j.jde.2016.10.017 - , , :
Actuator design for parabolic distributed parameter systems with the moment method
In: SIAM Journal on Control and Optimization 55 (2017), p. 1128-1152
ISSN: 0363-0129
DOI: 10.1137/16M1058418
2016
- , , :
Dispersion for 1-D Schrödinger and wave equations with BV coefficients
In: Annales de l'Institut Henri Poincaré - Analyse Non Linéaire 33 (2016), p. 1473-1495
ISSN: 0294-1449
DOI: 10.1016/j.anihpc.2015.06.002 - , :
Exact penalization of terminal constraints for optimal control problems
In: Optimal Control Applications & Methods 37 (2016)
ISSN: 0143-2087
DOI: 10.1002/oca.2238
URL: http://onlinelibrary.wiley.com/doi/10.1002/oca.2238/abstract - , :
Decay rates for 1-d heat-wave planar networks
In: Networks and Heterogeneous Media 11 (2016), p. 655-692
ISSN: 1556-1801
DOI: 10.3934/nhm.2016013 - , :
Control of 2D scalar conservation laws in the presence of shocks
In: Mathematics of Computation 85 (2016), p. 1183-1224
ISSN: 0025-5718
DOI: 10.1090/mcom/3015 - , :
Averaged controllability for random evolution Partial Differential Equations
In: Journal De Mathematiques Pures Et Appliquees 105 (2016), p. 367-414
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2015.11.004
2015
- , , :
Complexity and regularity of maximal energy domains for the wave equation with fixed initial data
In: Discrete and Continuous Dynamical Systems 35 (2015), p. 6133-6153
ISSN: 1078-0947
DOI: 10.3934/dcds.2015.35.6133
2014
- , :
Averaged control and observation of parameter-depending wave equations
In: Comptes Rendus Mathematique 352 (2014), p. 497-502
ISSN: 1631-073X
DOI: 10.1016/j.crma.2014.04.007 - , :
Boundary stabilization of numerical approximations of the 1-D variable coefficients wave equation: A numerical viscosity approach
In: Ronald Hoppe (ed.): Optimization with PDE Constraints, Springer Verlag, 2014, p. 285-324 (Lecture Notes in Computational Science and Engineering, Vol.101)
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Averaged control
In: Automatica 50 (2014), p. 3077-3087
ISSN: 0005-1098
DOI: 10.1016/j.automatica.2014.10.054
2013
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Blowup for a time-oscillating nonlinear heat equation
In: Acta Mathematica Universitatis Comenianae 82 (2013), p. 125-146
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Asymptotic expansions for anisotropic heat kernels
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Control and stabilization of waves on 1-d networks
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2012
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Approximating travelling waves by equilibria of non-local equations
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Continuous adjoint approach for the spalart-allmaras model in aerodynamic optimization
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ISSN: 0001-1452
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Convergence rates for dispersive approximation schemes to nonlinear Schrodinger equations
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ISSN: 0021-7824
DOI: 10.1016/j.matpur.2012.01.001
2011
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FLUX IDENTIFICATION FOR 1-d SCALAR CONSERVATION LAWS IN THE PRESENCE OF SHOCKS
In: Mathematics of Computation 80 (2011), p. 2025-2070
ISSN: 0025-5718
2010
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Asymptotic limits and stabilization for the 1D nonlinear Mindlin-Timoshenko system
In: Journal of Systems Science & Complexity 23 (2010), p. 414-430
ISSN: 1009-6124
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Asymptotics and stabilization for dynamic models of nonlinear beams
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ISSN: 1736-6046
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A SYSTEMATIC METHOD FOR BUILDING SMOOTH CONTROLS FOR SMOOTH DATA
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Exact Controllability of the Time Discrete Wave Equation: A Multiplier Approach
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2009
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2-D Euler Shape Design on Nonregular Flows Using Adjoint Rankine-Hugoniot Relations
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Convergence of a two-grid algorithm for the control of the wave equation
In: Journal of the European Mathematical Society 11 (2009), p. 351-391
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Exact controllability of the semi-linear wave equation
In: Vincent D. Blondel, Alexandre Megretski (ed.): Unsolved Problems in Mathematical Systems and Control Theory, Princeton University Press, 2009, p. 173-178
ISBN: 9781400826155
2008
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Controllability of the Kirchhoff system for beams as a limit of the Mindlin-Timoshenko system
In: SIAM Journal on Control and Optimization 47 (2008), p. 1909-1938
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An alternating descent method for the optimal control of the inviscid burgers equation in the presence of shocks
In: Mathematical Models & Methods in Applied Sciences 18 (2008), p. 369-416
ISSN: 0218-2025
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