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SUMMARY:From Navier-Stokes to discontinuous solutions of compressible Eule
 r
DTSTART:20260427T140000Z
DTEND:20260427T150000Z
DTSTAMP:20260413T143400Z
UID:indico-event-16442@indico.math.cnrs.fr
DESCRIPTION:\n\n\n\n\n\n\nThe compressible Euler equations can develop sho
 ck discontinuities in finite time\, as seen for instance in supersonic flo
 ws. A natural way to justify such singularities is to view Euler solutions
  as inviscid limits of Navier–Stokes flows with vanishing viscosity\, bu
 t this limit is notoriously hard to control due to destabilizing viscous e
 ffects. After earlier results of Bianchini and Bressan for artificial visc
 osities\, the corresponding problem for physical viscosities remained open
 . In this talk\, I will review the classical mathematical framework for co
 mpressible fluid mechanics and explain a recent method of a-contraction w
 ith shifts\, which allows us to describe the inviscid limit for the barotr
 opic Euler equations and resolve the Bianchini–Bressan conjecture in thi
 s setting.\n\n\n\n\n\n \n\n\n\nhttps://indico.math.cnrs.fr/event/16442/
URL:https://indico.math.cnrs.fr/event/16442/
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