Lundi 20 Mars

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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).