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Website of the Chair of Computational Mathematics at University of Deusto
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2020 Carlos Esteve Dario Pighin DyCon Enrique Zuazua Publications Submitted

The Turnpike property and the long-time behavior of the Hamilton-Jacobi equation

Darlis Bracho Tudares 19 June, 2020

C. Esteve, H. Kouhkouh, D. Pighin, E. Zuazua. The Turnpike property and the long-time behavior of the Hamilton-Jacobi equation

Abstract: In this work, we analyze the consequences that the so-called turnpike property has on the long-time behavior of the value function corresponding to an optimal control problem. As a by-product, we obtain the long-time behavior of the solution to the associated Hamilton-Jacobi-Bellman equation.

In order to carry out our study, we use the setting of a finite-dimensional linear-quadratic optimal control problem, for which the turnpike property is well understood. We prove that, when the time horizon T tends to infinity, the value function converges to a travelling-front like solution of the form W(x) + c T + λ. In addition, we provide a control interpretation of each of these three terms in the spirit of the turnpike theory. Finally, we compare this asymptotic decomposition with the existing results on long-time behavior for Hamilton-Jacobi equations. We stress that in our case, the Hamiltonian is not coercive in the momentum variable, a case rarely considered in the classical literature about Hamilton-Jacobi equations.

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Last publications

2021 Accepted Borjan Geshkovski ConFlex DyCon Elkartek Enrique Zuazua ICON Nonlocal-PDEs Publications WP5-MHM

Controllability of one-dimensional viscous free boundary flows

CCM Researchers 19 February, 2021

B. Geshkovski, E. Zuazua.  Controllability of one-dimensional viscous free boundary flows. Siam. J. Control. Optim. (2021) Abstract. In this work, we address the local controllability of…

2021 2021-accepted Accepted COSNET DyCon Elkartek Nonlocal-PDEs Publications Umberto Biccari WP5-MHM

Internal control for a non-local Schrödinger equation involving the fractional Laplace operator

Hector Olmedo 15 February, 2021

U. Biccari Internal control for a non-local Schrödinger equation involving the fractional Laplace operator (2021) Abstract: We analyze the interior controllability problem for a nonlocal…

2020 2020-released ConFlex COSNET DyCon Enrique Zuazua ICON Nonlocal-PDEs Publications Released WP6-FI

Nonnegative control of finite-dimensional linear systems

Darlis Bracho Tudares 5 February, 2021

Lohéac J., Trélat E., Zuazua E. Nonnegative control of finite-dimensional linear systems. Ann. I. H. Poincare-An., Vol. 38, pp. 301-346. (2020) DOI: j.anihpc.2020.07.004 Abstract. We…

2021 Enrique Zuazua Publications Submitted

Reachable subspaces, control regions and heat equations with memory

Darlis Bracho Tudares 29 January, 2021

G. Wang, Y. Zhang, E. Zuazua. Reachable subspaces, control regions and heat equations with memory. (2021) Abstract. We study the controlled heat equations with analytic…

2021 Enrique Zuazua Publications Submitted

Decomposition for the flow of the heat equation with memory

Darlis Bracho Tudares 27 January, 2021

G. Wang, Y. Zhang, E. Zuazua. Decomposition for the flow of the heat equation with memory. (2021) Abstract. We analyze the dynamics of the heat…

Last Activities

Activities News

Coloquio MTM UFSC: Inverse design for conservation laws and Hamilton-Jacobi equations by E. Zuazua

Darlis Bracho Tudares 24 February, 2021

Next Friday March 5th, our Head Enrique Zuazua will talk about “Inverse design for conservation laws and Hamilton-Jacobi equations”, a lecture on the Colloquium organized…

Activities Join us News open

Project Manager – ECMD, Erlangen Center for Mathematics of Data at FAU

Darlis Bracho Tudares 22 February, 2021

The University of Erlangen-Nürnberg (FAU – Friedrich-Alexander Universität Erlangen-Nürnberg) is launching an ambitious project to establish the new Erlangen Center for Mathematics of Data (ECMD).…

Activities News

Research at service of Society

Darlis Bracho Tudares 19 February, 2021

Last year the pandemic has been crucial on our lives. From University of Deusto, we can proudly say all our people, specially research staff have…

Activities Seminars

Open World PDE Seminar: Inverse design for conservation laws and Hamilton–Jacobi equations

Darlis Bracho Tudares 1 February, 2021

Last Tuesday February 2nd, our Head Enrique Zuazua talked at One World PDE event about: Inverse design for conservation laws and Hamilton–Jacobi equations Abstract. We…

Activities Join us News open

6i Dirs – PhD researcher position

Darlis Bracho Tudares 7 January, 2021

Position: PhD researcher on Control and Reinforcement Learning in Stochastic Processes Supported and co-funded by the Marie Skłodowska-Curie programme of the European Commission Department: IRPO…

January

February 2021

March
MO
TU
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FR
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SU
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Events for 1st February
DyCon Dynamic Control ERC Project
12:00 am - 12:00 am

ERC DyCon Postdoctoral position

INdnAM workshop (Rome, Italy)
8:00 am - 12:00 am

INdAM Workshop 2021: “Analysis and Numerics of Design, Control and Inverse Problems”

Sapienza Università di Roma - “G. Castelnuovo” Mathematics Dept. (Italy)
8:00 am - 12:00 am

IGSC 2021 – Optimization and Machine  Learning in Control by Enrique Zuazua

CCM PhD Position Marie-Curie
8:00 am - 12:00 am

6i Dirs Open Call: PhD researcher position

Events for 2nd February
DyCon Dynamic Control ERC Project
All Day

ERC DyCon Postdoctoral position

INdnAM workshop (Rome, Italy)
All Day

INdAM Workshop 2021: “Analysis and Numerics of Design, Control and Inverse Problems”

Sapienza Università di Roma - “G. Castelnuovo” Mathematics Dept. (Italy)
All Day

IGSC 2021 – Optimization and Machine  Learning in Control by Enrique Zuazua

CCM PhD Position Marie-Curie
All Day

6i Dirs Open Call: PhD researcher position

4:00 pm - 6:00 pm

Inverse design for conservation laws and Hamilton–Jacobi equations by E. Zuazua

Events for 3rd February
DyCon Dynamic Control ERC Project
All Day

ERC DyCon Postdoctoral position

INdnAM workshop (Rome, Italy)
All Day

INdAM Workshop 2021: “Analysis and Numerics of Design, Control and Inverse Problems”

Sapienza Università di Roma - “G. Castelnuovo” Mathematics Dept. (Italy)
All Day

IGSC 2021 – Optimization and Machine  Learning in Control by Enrique Zuazua

CCM PhD Position Marie-Curie
All Day

6i Dirs Open Call: PhD researcher position

Events for 4th February
DyCon Dynamic Control ERC Project
All Day

ERC DyCon Postdoctoral position

INdnAM workshop (Rome, Italy)
All Day

INdAM Workshop 2021: “Analysis and Numerics of Design, Control and Inverse Problems”

Sapienza Università di Roma - “G. Castelnuovo” Mathematics Dept. (Italy)
All Day

IGSC 2021 – Optimization and Machine  Learning in Control by Enrique Zuazua

CCM PhD Position Marie-Curie
All Day

6i Dirs Open Call: PhD researcher position

Events for 5th February
DyCon Dynamic Control ERC Project
12:00 am - 11:55 pm

ERC DyCon Postdoctoral position

INdnAM workshop (Rome, Italy)
All Day

INdAM Workshop 2021: “Analysis and Numerics of Design, Control and Inverse Problems”

Sapienza Università di Roma - “G. Castelnuovo” Mathematics Dept. (Italy)
All Day

IGSC 2021 – Optimization and Machine  Learning in Control by Enrique Zuazua

CCM PhD Position Marie-Curie
All Day

6i Dirs Open Call: PhD researcher position

8:00 am - 12:00 am

IEMSC-21 Neural Differential Equations, Control and Machine Learning. Plenary Speech by Enrique Zuazua

Events for 6th February
INdnAM workshop (Rome, Italy)
All Day

INdAM Workshop 2021: “Analysis and Numerics of Design, Control and Inverse Problems”

Sapienza Università di Roma - “G. Castelnuovo” Mathematics Dept. (Italy)
All Day

IGSC 2021 – Optimization and Machine  Learning in Control by Enrique Zuazua

CCM PhD Position Marie-Curie
All Day

6i Dirs Open Call: PhD researcher position

All Day

IEMSC-21 Neural Differential Equations, Control and Machine Learning. Plenary Speech by Enrique Zuazua

Events for 7th February
INdnAM workshop (Rome, Italy)
All Day

INdAM Workshop 2021: “Analysis and Numerics of Design, Control and Inverse Problems”

Sapienza Università di Roma - “G. Castelnuovo” Mathematics Dept. (Italy)
All Day

IGSC 2021 – Optimization and Machine  Learning in Control by Enrique Zuazua

CCM PhD Position Marie-Curie
All Day

6i Dirs Open Call: PhD researcher position

12:00 am - 6:00 pm

IEMSC-21 Neural Differential Equations, Control and Machine Learning. Plenary Speech by Enrique Zuazua

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Events for 8th February
INdnAM workshop (Rome, Italy)
All Day

INdAM Workshop 2021: “Analysis and Numerics of Design, Control and Inverse Problems”

Sapienza Università di Roma - “G. Castelnuovo” Mathematics Dept. (Italy)
All Day

IGSC 2021 – Optimization and Machine  Learning in Control by Enrique Zuazua

CCM PhD Position Marie-Curie
All Day

6i Dirs Open Call: PhD researcher position

Events for 9th February
INdnAM workshop (Rome, Italy)
All Day

INdAM Workshop 2021: “Analysis and Numerics of Design, Control and Inverse Problems”

Sapienza Università di Roma - “G. Castelnuovo” Mathematics Dept. (Italy)
All Day

IGSC 2021 – Optimization and Machine  Learning in Control by Enrique Zuazua

CCM PhD Position Marie-Curie
All Day

6i Dirs Open Call: PhD researcher position

Events for 10th February
INdnAM workshop (Rome, Italy)
All Day

INdAM Workshop 2021: “Analysis and Numerics of Design, Control and Inverse Problems”

Sapienza Università di Roma - “G. Castelnuovo” Mathematics Dept. (Italy)
All Day

IGSC 2021 – Optimization and Machine  Learning in Control by Enrique Zuazua

CCM PhD Position Marie-Curie
All Day

6i Dirs Open Call: PhD researcher position

Events for 11th February
INdnAM workshop (Rome, Italy)
All Day

INdAM Workshop 2021: “Analysis and Numerics of Design, Control and Inverse Problems”

Sapienza Università di Roma - “G. Castelnuovo” Mathematics Dept. (Italy)
All Day

IGSC 2021 – Optimization and Machine  Learning in Control by Enrique Zuazua

CCM PhD Position Marie-Curie
All Day

6i Dirs Open Call: PhD researcher position

Events for 12th February
INdnAM workshop (Rome, Italy)
All Day

INdAM Workshop 2021: “Analysis and Numerics of Design, Control and Inverse Problems”

Sapienza Università di Roma - “G. Castelnuovo” Mathematics Dept. (Italy)
All Day

IGSC 2021 – Optimization and Machine  Learning in Control by Enrique Zuazua

CCM PhD Position Marie-Curie
All Day

6i Dirs Open Call: PhD researcher position

Events for 13th February
INdnAM workshop (Rome, Italy)
All Day

INdAM Workshop 2021: “Analysis and Numerics of Design, Control and Inverse Problems”

Sapienza Università di Roma - “G. Castelnuovo” Mathematics Dept. (Italy)
All Day

IGSC 2021 – Optimization and Machine  Learning in Control by Enrique Zuazua

CCM PhD Position Marie-Curie
All Day

6i Dirs Open Call: PhD researcher position

Events for 14th February
INdnAM workshop (Rome, Italy)
All Day

INdAM Workshop 2021: “Analysis and Numerics of Design, Control and Inverse Problems”

Sapienza Università di Roma - “G. Castelnuovo” Mathematics Dept. (Italy)
All Day

IGSC 2021 – Optimization and Machine  Learning in Control by Enrique Zuazua

CCM PhD Position Marie-Curie
All Day

6i Dirs Open Call: PhD researcher position

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Events for 15th February
INdnAM workshop (Rome, Italy)
All Day

INdAM Workshop 2021: “Analysis and Numerics of Design, Control and Inverse Problems”

Sapienza Università di Roma - “G. Castelnuovo” Mathematics Dept. (Italy)
All Day

IGSC 2021 – Optimization and Machine  Learning in Control by Enrique Zuazua

CCM PhD Position Marie-Curie
All Day

6i Dirs Open Call: PhD researcher position

Events for 16th February
INdnAM workshop (Rome, Italy)
All Day

INdAM Workshop 2021: “Analysis and Numerics of Design, Control and Inverse Problems”

Sapienza Università di Roma - “G. Castelnuovo” Mathematics Dept. (Italy)
All Day

IGSC 2021 – Optimization and Machine  Learning in Control by Enrique Zuazua

CCM PhD Position Marie-Curie
All Day

6i Dirs Open Call: PhD researcher position

8:00 am - 6:00 pm

FAU-CAAAvH Seminar: Stability and asymptotic properties of a linearized hydrodynamic medium model for dispersive media in nanophotonics

Events for 17th February
INdnAM workshop (Rome, Italy)
All Day

INdAM Workshop 2021: “Analysis and Numerics of Design, Control and Inverse Problems”

Sapienza Università di Roma - “G. Castelnuovo” Mathematics Dept. (Italy)
All Day

IGSC 2021 – Optimization and Machine  Learning in Control by Enrique Zuazua

CCM PhD Position Marie-Curie
All Day

6i Dirs Open Call: PhD researcher position

2:30 pm - 12:00 am

COST workshop: Mathematical models for interacting dynamics on networks (mat-dyn-net)

Events for 18th February
INdnAM workshop (Rome, Italy)
All Day

INdAM Workshop 2021: “Analysis and Numerics of Design, Control and Inverse Problems”

Sapienza Università di Roma - “G. Castelnuovo” Mathematics Dept. (Italy)
All Day

IGSC 2021 – Optimization and Machine  Learning in Control by Enrique Zuazua

CCM PhD Position Marie-Curie
All Day

6i Dirs Open Call: PhD researcher position

12:00 am - 8:00 pm

COST workshop: Mathematical models for interacting dynamics on networks (mat-dyn-net)

Events for 19th February
INdnAM workshop (Rome, Italy)
All Day

INdAM Workshop 2021: “Analysis and Numerics of Design, Control and Inverse Problems”

Sapienza Università di Roma - “G. Castelnuovo” Mathematics Dept. (Italy)
All Day

IGSC 2021 – Optimization and Machine  Learning in Control by Enrique Zuazua

CCM PhD Position Marie-Curie
All Day

6i Dirs Open Call: PhD researcher position

8:00 am - 12:00 am

Open call at FAU: Project Manager ECMD

Events for 20th February
INdnAM workshop (Rome, Italy)
All Day

INdAM Workshop 2021: “Analysis and Numerics of Design, Control and Inverse Problems”

Sapienza Università di Roma - “G. Castelnuovo” Mathematics Dept. (Italy)
All Day

IGSC 2021 – Optimization and Machine  Learning in Control by Enrique Zuazua

CCM PhD Position Marie-Curie
All Day

6i Dirs Open Call: PhD researcher position

All Day

Open call at FAU: Project Manager ECMD

Events for 21st February
INdnAM workshop (Rome, Italy)
All Day

INdAM Workshop 2021: “Analysis and Numerics of Design, Control and Inverse Problems”

Sapienza Università di Roma - “G. Castelnuovo” Mathematics Dept. (Italy)
All Day

IGSC 2021 – Optimization and Machine  Learning in Control by Enrique Zuazua

CCM PhD Position Marie-Curie
All Day

6i Dirs Open Call: PhD researcher position

All Day

Open call at FAU: Project Manager ECMD

22
23
24
25
26
27
28
Events for 22nd February
INdnAM workshop (Rome, Italy)
All Day

INdAM Workshop 2021: “Analysis and Numerics of Design, Control and Inverse Problems”

Sapienza Università di Roma - “G. Castelnuovo” Mathematics Dept. (Italy)
All Day

IGSC 2021 – Optimization and Machine  Learning in Control by Enrique Zuazua

CCM PhD Position Marie-Curie
All Day

6i Dirs Open Call: PhD researcher position

All Day

Open call at FAU: Project Manager ECMD

Events for 23rd February
INdnAM workshop (Rome, Italy)
All Day

INdAM Workshop 2021: “Analysis and Numerics of Design, Control and Inverse Problems”

Sapienza Università di Roma - “G. Castelnuovo” Mathematics Dept. (Italy)
All Day

IGSC 2021 – Optimization and Machine  Learning in Control by Enrique Zuazua

CCM PhD Position Marie-Curie
All Day

6i Dirs Open Call: PhD researcher position

All Day

Open call at FAU: Project Manager ECMD

Events for 24th February
INdnAM workshop (Rome, Italy)
All Day

INdAM Workshop 2021: “Analysis and Numerics of Design, Control and Inverse Problems”

Sapienza Università di Roma - “G. Castelnuovo” Mathematics Dept. (Italy)
All Day

IGSC 2021 – Optimization and Machine  Learning in Control by Enrique Zuazua

CCM PhD Position Marie-Curie
All Day

6i Dirs Open Call: PhD researcher position

All Day

Open call at FAU: Project Manager ECMD

Events for 25th February
INdnAM workshop (Rome, Italy)
All Day

INdAM Workshop 2021: “Analysis and Numerics of Design, Control and Inverse Problems”

Sapienza Università di Roma - “G. Castelnuovo” Mathematics Dept. (Italy)
All Day

IGSC 2021 – Optimization and Machine  Learning in Control by Enrique Zuazua

CCM PhD Position Marie-Curie
All Day

6i Dirs Open Call: PhD researcher position

All Day

Open call at FAU: Project Manager ECMD

10:30 am - 11:30 am

FAUCAASeminar: Spatially inhomogeneous evolutionary games

Worldwide
Events for 26th February
INdnAM workshop (Rome, Italy)
All Day

INdAM Workshop 2021: “Analysis and Numerics of Design, Control and Inverse Problems”

Sapienza Università di Roma - “G. Castelnuovo” Mathematics Dept. (Italy)
All Day

IGSC 2021 – Optimization and Machine  Learning in Control by Enrique Zuazua

CCM PhD Position Marie-Curie
All Day

6i Dirs Open Call: PhD researcher position

All Day

Open call at FAU: Project Manager ECMD

Events for 27th February
INdnAM workshop (Rome, Italy)
All Day

INdAM Workshop 2021: “Analysis and Numerics of Design, Control and Inverse Problems”

Sapienza Università di Roma - “G. Castelnuovo” Mathematics Dept. (Italy)
All Day

IGSC 2021 – Optimization and Machine  Learning in Control by Enrique Zuazua

CCM PhD Position Marie-Curie
All Day

6i Dirs Open Call: PhD researcher position

All Day

Open call at FAU: Project Manager ECMD

5:30 pm - 6:30 pm

36th SIDIM – Research in Mathematics

Worldwide
Events for 28th February
INdnAM workshop (Rome, Italy)
All Day

INdAM Workshop 2021: “Analysis and Numerics of Design, Control and Inverse Problems”

Sapienza Università di Roma - “G. Castelnuovo” Mathematics Dept. (Italy)
All Day

IGSC 2021 – Optimization and Machine  Learning in Control by Enrique Zuazua

CCM PhD Position Marie-Curie
All Day

6i Dirs Open Call: PhD researcher position

All Day

Open call at FAU: Project Manager ECMD

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