Space-time resonance and applications to dispersive PDE’S

Jeudi 6 février 11:00-12:00 - Changzhen Sun - Laboratoire de Mathématiques d'Orsay

Résumé : In this talk,I will fistly recall the normal form transform (or more generally,’space-time resonance’ ) method which has been shown to be very effective to prove the global existence and scattering for some dispersive pdes with samll initial data( Klein Gordon,schrodinger, ...)or the system from plasma physics and fluid mechanics whose linearized system has dispersive properties.(Euler poisson, water waves...)Then if time permits,I will talk about the uniform stability of Navier-Stokes-Poisson system in inviscid limit which combines the space-time resonance method and classical parabolic thechnique.

Lieu : Salle 3L8 - IMO

Space-time resonance and applications to dispersive PDE’S  Version PDF