Analysis Seminar

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Control and Stabilization of the Incompressible Euler Equation with Free Surface

Speaker: Thomas Alazard, ENS Paris

Location: Warren Weaver Hall 1302

Date: Thursday, May 5, 2016, 11 a.m.

Synopsis:

The incompressible Euler equation with free surface dictates the dynamics of the interface separating the air from a perfect incompressible fluid. This talk is about the controllability and the stabilization of this equation. The goal is to understand the generation and the absorption of water waves in a wave tank. These two problems are studied by two different methods: microlocal analysis for the controllability, and study of global quantities for the stabilization (multiplier method, Pohozaev identity, Hamiltonian formulation, Luke's variational principle, conservation laws…).