Thomas ALAZARD - Control and stabilization of the incompressible Euler equation with free surface
Channel: Institut des Hautes Études Scientifiques (IHÉS)
Date: 2016-07-04

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...).