Summer school EUR MINT 2025 "Control, Inverse Problems and Spectral Theory"

Abstracts

2. A few techniques to achieve invisibility in acoustic waveguides

Lucas Chesnel (Inria)

The aim of this lecture is to consider a concrete problem, namely the identification of situations of invisibility in waveguides, to present techniques and tools that may be useful in various fields of applied mathematics. To be more specific, we will be interested in the propagation of acoustic waves in guides which are unbounded in one direction. In general, the diffraction of an incident...

4. Inverse problems in the wave equation: from stability to parameter reconstruction

Lucie Baudouin (LAAS-CNRS)

1. Spectral geometry: old questions and new answers

David Krejcirik

Spectral geometry is concerned with the interaction between the spectrum of linear differential operators and the geometry of underlying Riemannian manifolds. The goal of the lecture is to acquaint the student with classical problems as well as the most recent developments in the field. The emphasis is put on the Laplace operator in Euclidean domains, subject to Dirichlet, Neumann and Robin...

3. Time Iteration Methods for Controllability

Frédéric Marbach (DMA, ENS Ulm, CNRS)

This course explores several important strategies ubiquitous in control theory, presenting them as time iteration methods, where each time step progressively brings us closer to achieving the control objective. This course aims to provide an accessible introduction to these techniques.

For ordinary differential equations (ODEs), we will focus on the tangent vector method, which allows us to...