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SUMMARY:Why people in hyperbolic conservation laws are interested in free 
 boundary problems. - Serre\, D (UMPA\, ENS-Lyon\, France )
DTSTART:20140513T140000Z
DTEND:20140513T153000Z
UID:TALK52576@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:In hyperbolic equations\, wave propagate with finite velocity.
  When the equation is quasilinear\, this velocity depends on the state its
 elf\; this non-constancy leads to the formation of shock waves. Shock wave
 s are inherently free boundaries. \nI shall present illustrate basic conce
 pts in one space dimension and discuss a little bit the multi-dimensional 
 setting\, where stability is encoded in a Lopatinskii condition.\nI'll als
 o show that in specific problems (steady or self-similar solutions)\, one 
 is naturally led to deal with elliptic equations. \n
LOCATION:Seminar Room 1\, Newton Institute
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