Lundi 20 Mars

Heure:	11:00 - 11:30
Lieu:	Salle B405, bâtiment B, LAGA, Institut Galilée, Université Paris 13
Résumé:	Modélisation et Calcul Scientifique - Analysis of a domain decomposition method for a convected Helmholtz like equation -
Description:	Antoine Tonnoir Low-order prandtl-glauert-lorentz ba- sed absorbing boundary conditions for solving the convected helmholtz equation with disconti- nuous galerkin methods, Journal of Computational Physics  Stable Perfectly Matched Layers with Lorentz transformation for the convected Helmholtz equation, Journal of Computational Physics  A non-overlapping Schwarz domain decomposition method with high-order fi- nite elements for flow acoustics, Computer Methods in Applied Mechanics and Engineering 

Heure:	14:00 - 15:30
Lieu:	Salle B407, bâtiment B, LAGA, Institut Galilée, Université Paris 13
Résumé:	EDP & Physique mathématique - Smoothing properties and gains of integrability for quadratic evolution equations through the polar decomposition -
Description:	Paul Alphonse In this talk, we will focus on the evolution equations associated with nonselfadjoint quadratic differential operators. The purpose is first to understand how the possible non-commutation phenomena between the selfadjoint and the skew-selfadjoint parts of these operators allow the associated evolution operators to enjoy smoothing and localizing properties in specific directions of the phase space which will be precisely described. These different properties will be deduced from a fine description of the polar decomposition of the evolution operators considered. An application to the generalized Ornstein-Uhlenbeck equations, of which the Kramers-Fokker-Planck equation is a particular case, will be given. We will also explain how a refinement of the aforementioned polar decomposition allows to understand the local smoothing properties and the gains of integrability enjoyed by these equations, under a geometric assumption. These results come from a series of works with J. Bernier (LMJL).