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SUMMARY: Formation of singularities for the Relativistic Euler equations -
  Nikolaos Athanasiou
DTSTART:20190313T160000Z
DTEND:20190313T170000Z
UID:TALK121480@talks.cam.ac.uk
CONTACT:Angeliki Menegaki
DESCRIPTION:An archetypal phenomenon in the study of hyperbolic systems of
  conservation laws is the development of singularities (in particular shoc
 ks) in finite time\, no matter how smooth or small the initial data are. A
  series of works by Lax\, John et al confirmed that for some important sys
 tems\, when the initial data is a smooth small perturbation of a constant 
 state\, singularity formation in finite time is equivalent to the existenc
 e of compression in the initial data. Our talk will address the question o
 f whether this dichotomy persists for large data problems\, at least for t
 he system of the Relativistic Euler equations in (1+1) dimensions. We shal
 l also give some interesting studies in (3+1) dimensions. This is joint wo
 rk with Dr. Shengguo Zhu.
LOCATION:MR14\, Centre for Mathematical Sciences
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