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UID:2834@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20190326T110000
DTEND;TZID=Europe/Paris:20190326T120000
DTSTAMP:20190311T100000Z
URL:https://www.i2m.univ-amu.fr/evenements/stability-estimates-in-wasserst
 ein-distance-for-some-kinetic-equations/
SUMMARY: (...): Stability estimates in Wasserstein distance for some kineti
 c equations
DESCRIPTION:: In this talk I intend to illustrate the use of Wasserstein di
 stances in the space of probability measures\, arising in the context of o
 ptimal transportation\, in order to obtain stability estimates for some ki
 netic equations. We shall first recall how this approach allowed to obtain
  a uniqueness result for weak solutions of the Vlasov-Poisson system with 
 bounded density (G.Loeper\, 2005). In a second time we explain how to adap
 t these ideas in the context of the Vlasov-Navier-Stokes (VNS) system  (D.
 Han-Kwan\,  E.Miot\,  A.Moussa and  I.M.\,  2017)\, which  requires  to su
 itably modify the previous approach. Finally\, we apply these methods to s
 tudy the long-time behaviour of the VNS system in the 2D and 3D torus: we 
 prove that the weak solutions of this system converge exponentially fast t
 o a monokinetic profile that we can describe with some detail. http://ivan
 .moyano.perso.math.cnrs.fr
CATEGORIES:Séminaire,Analyse Appliquée
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DTSTART:20181028T020000
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