CIRM-FBK 2021: Inverse design for conservation laws and Hamilton-Jacobi equations by E. Zuazua
On Friday September 24, our Head Enrique Zuazua will talk on “Inverse design for conservation laws and Hamilton-Jacobi equations” at the CIRM-FBK event 2021 on “Analysis, Control and Numerics for PDE Models of interest to physical and life Sciences” in Levico Terme (Trento, Italy), sponsored by CIRM – Centro Internazionale per la Ricerca Matematica, FBK – Fondazione Bruno Kessler, INdAM and UNITN.
Speaker: Prof. Dr. Enrique Zuazua
Affiliation: FAU Erlangen – Nürnberg (Germany)
Fri. September 24, 2021 at 09:00H (GMT + 2)
Abstract. Some classical nonlinear semigroups arising in mechanics induce unilateral bounds on solutions. Hamilton-Jacobi equations and 1-d scalar conservation laws are classical examples of such nonlinear effects: solutions spontaneously develop one-sided Lipschitz or semi-concavity conditions. When this occurs the range of the semigroup is unilaterally bounded by a threshold. On the other hand, in practical applications, one is often led to consider the problem of time-inversion, so to identify the initial sources that originated the observed dynamics at the final time.
In this lecture we shall discuss this problem and address the following specific questions:
-Identification of the range of the semigroup
-Identification of the class of initial data leading to a target
-Least-square approaches versus backward-forward resolution.
We shall also present a number of open problems arising in this area and the possible link with reinforcement learning.
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Enrique Zuazua Alexander von Humboldt Professorship | Head of the Chair of Computational Mathematics | Professor of Applied MathematicsEnrique ZuazuaAlexander von Humboldt Professorship | Head of the Chair of Computational Mathematics | Professor of Applied Mathematics
Enrique Zuazua (Eibar, Basque Country – Spain, 1961) holds an Alexander von Humboldt Professorship at the Friedrich–Alexander University (FAU), Erlangen (Germany). He is also the Director of the Chair of Computational Mathematics at Deusto Foundation, Universidad de Deusto (Bilbao, Basque Country-Spain) where he leads the research team funded by the ERC Advanced Grant DyCoN project. He is also a Professor of Applied Mathematics since 2001 at the Department of Mathematics of the Autonomous University of Madrid where he holds a Strategic Chair.
more about Enrique
- Go to occurrence page
- Sep 24 2021
- 9:00 am - 9:45 am