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SUMMARY:Relative entropy method applied to the stability of shocks for sys
 tems of conservation laws - Vasseur\, A (Texas at Austin)
DTSTART:20100907T103000Z
DTEND:20100907T113000Z
UID:TALK26081@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:We develop a theory based on relative entropy to show stabilit
 y and uniqueness of extremal entropic Rankine-Hugoniot discontinuities for
  systems of conservation laws (typically 1-shocks\, n-shocks\, 1-contact d
 iscontinuities and n-contact discontinuities of big amplitude)\, among bou
 nded entropic weak solutions having an additional strong trace property. T
 he existence of a convex entropy is needed. No BV estimate is needed on th
 e weak solutions considered. The theory holds without smallness condition.
  The assumptions are quite general. For instance\, the strict hyperbolicit
 y is not needed globally. For fluid mechanics\, the theory handles solutio
 ns with vacuum.
LOCATION:Seminar Room 1\, Newton Institute
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