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SUMMARY:Weak singularities in the multi-dimensional Riemann Problem - Serr
 e\, D (ENS - Lyon)
DTSTART:20140514T130000Z
DTEND:20140514T140000Z
UID:TALK52560@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:The Riemann Problem consists in looking at self-similar soluti
 ons of first order systems of conservation laws\, like compressible gas dy
 namics. In one space dimension\, it is solved by shocks and rarefaction wa
 ves. Both kinds have generalizations in several space variables\, where th
 e wave fronts are free boundaries. We study the rarefaction case in detail
  and show that the gradient jump at the front can be calculated explicitly
  when the outer state is constant. This jump depends upon the dimension $d
 $ and vanishes when $d=3$.\nThis is a joint work with H. Freisthueler (Uni
 v. Konstanz)\n\n
LOCATION:Seminar Room 2\, Newton Institute Gatehouse
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