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SUMMARY:Global Existence of Solutions to the 3D Navier-Stokes Equations wi
th Degenerate Viscosities
DTSTART;VALUE=DATE-TIME:20160615T081000Z
DTEND;VALUE=DATE-TIME:20160615T085500Z
DTSTAMP;VALUE=DATE-TIME:20191024T052216Z
UID:indico-contribution-2978@indico.math.cnrs.fr
DESCRIPTION:Speakers: Alexis Vasseur (Department of Mathematics)\nWe prove
the existence of global weak solutions for 3D compressible Navier-Stokes
equations with degenerate viscosities. The method is based on the Bresch
and Desjardins entropy. The solutions are obtained as limits of the quanti
c Navier-Stokes system. The main contribution is to derive the Mellet-Vass
eur type inequality for the weak\nsolutions\, even if it is not verified b
y the first level of approximation. This provides existence of global solu
tions in time\, for the compressible Navier-Stokes equations\, for any gam
ma bigger than one\, in three dimensional space\, with large initial data\
, possibly vanishing on the vacuum. This is a joint work with Cheng Yu. Th
e paper will appear in Inventiones.\n\nhttps://indico.math.cnrs.fr/event/9
39/contributions/2978/
LOCATION: Salle de Réunion - Bâtiment M2
URL:https://indico.math.cnrs.fr/event/939/contributions/2978/
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