3 papers
math.AP2026
Uniqueness and stability in bottom detection through surface measurements of water waves
Noureddine Lamsahel, Lionel Rosier
This paper investigates the geometric inverse problem of recovering the bottom shape from surface measurements of water waves. Using the general water-waves system on a bounded sub…
math.OC2013
Null controllability of the heat equation using flatness
Philippe Martin, Lionel Rosier, Pierre Rouchon
We derive in a direct and rather straightforward way the null controllability of the N-dimensional heat equation in a bounded cylinder with boundary control at one end of the cylin…
math.OC2013
Null controllability of the 1D heat equation using flatness
Philippe Martin, Lionel Rosier, Pierre Rouchon
We derive in a straightforward way the null controllability of a 1-D heat equation with boundary control. We use the so-called {\em flatness approach}, which consists in parameteri…