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Séminaire de EDP - Physique Mathématique

Existence de solutions fortes globales pour les équations de Navier-Stokes compressibles avec viscosités dégénérées en une dimension d'espace

Boris Haspot

( Ceremade )

Salle de Conférences

le 04 mai 2021 à 11:15

In this presentation, we provide a result on the derivation of the incompressible Navier-Stokes-Fourier system from the Landau equation for hard, Maxwellian and moderately soft potentials. We first investigate the Cauchy theory associated to the rescaled Landau equation for small initial data. Our approach is based on proving estimates of some adapted Sobolev norms of the solution that are uniform in the Knudsen number. These uniform estimates also allow us to obtain a result of weak convergence towards the fluid limit system.