Contributed by: Jerome Loheac, jerome.loheac@univ-lorraine.fr
Subject title: Stabilization and controllability of Stefan’s problem;
Keywords: Control, Stabilization, Heat equation, Stefan’s Problem, Constrained state;
PhD directors: Jerome Loheac and Takeo Takahashi;
Workplaces: Institut Elie Cartan de Lorraine and Centre de Recherche en Automatique de Nancy;
Start of the PhD thesis: October 2021.
In this subject, we will focus on the controllability and stabilization problem of the fusion interface of a solid. This problem can be modeled by Stefan’s equations. These equations involve two heat equations coupled at the melting point. This is a non-linear problem involving free boundary.
This subject requires both automatic and applied mathematics skills. In addition to basic knowledge of automatics, notions on partial differential equations will be desirable. In addition, numerical experiments will be requested. It will therefore be necessary to have elementary notions in numerical approximation as well as to master some numerical calculation software.
Detailed subject available at:
https://mycore.core-cloud.net/index.php/s/CsW5O0B2TFnELcU
