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
Loworder prandtlglauertlorentz ba sed absorbing boundary conditions for solving the convected helmholtz equation with disconti nuous galerkin methods, Journal of Computational Physics&nbsp; Stable Perfectly Matched Layers with Lorentz transformation for the convected Helmholtz equation, Journal of Computational Physics&nbsp; A nonoverlapping Schwarz domain decomposition method with highorder fi nite elements for flow acoustics, Computer Methods in Applied Mechanics and Engineering&nbsp; 
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&nbsp;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 noncommutation phenomena between the selfadjoint and the skewselfadjoint 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 OrnsteinUhlenbeck equations, of which the KramersFokkerPlanck 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). 

