BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Existence of global strong solution for compressible Navier Stokes
  equations in one dimension with for degenerate viscosity coefficients - B
 oris Haspot (Univ. Paris-Dauphine)
DTSTART:20200210T150000Z
DTEND:20200210T160000Z
UID:TALK139027@talks.cam.ac.uk
CONTACT:Jessica Guerand
DESCRIPTION:In this talk we prove the existence of global strong solution 
 for the\nNavier-Stokes equations with general degenerate viscosity coeffic
 ients in one dimension. The\ncornerstone of the proof is the introduction 
 of a new effective pressure which\nallows to obtain an Oleinik-type estima
 te for the so called effective\nvelocity. It enables us to control the $L^
 \\infty$ norm of $\\frac{1}{\\rho}$ with $\\rho$ the density. In our proof
  we make use also of additional regularizing effects on the\nvelocity whic
 h requires to extend the techniques developed by Hoff for the\nconstant vi
 scosity case.
LOCATION:CMS\, MR13
END:VEVENT
END:VCALENDAR