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SUMMARY:Alberto Bressan (Penn State University\, USA)
DTSTART:20210420T140000Z
DTEND:20210420T150000Z
DTSTAMP:20260423T024748Z
UID:CRM-CAMP/38
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CRM-CAMP/38/
 ">Non-uniqueness and error bounds for fluid flow</a>\nby Alberto Bressan (
 Penn State University\, USA) as part of CRM CAMP (Computer-Assisted Mathem
 atical Proofs) in Nonlinear Analysis\n\n\nAbstract\nFor hyperbolic systems
  of conservation laws in one space dimension\, a general existence-unique
 ness theory is now available\, for entropy weak solutions with bounded var
 iation. In several space dimensions\, however\, it seems unlikely that a 
 similar theory can be achieved.\n\nFor the 2-D Euler equations\, in this 
 talk I shall discuss the simplest possible examples of Cauchy problems a
 dmitting multiple solutions. Several numerical simulations will be presen
 ted\, for incompressible as well as compressible flow\, indicating the e
 xistence of two distinct solutions for the same initial data. Typically\,
  one of the solutions contains a single spiraling vortex\, while the other
  solution contains two vortices.\n\nSome theoretical work\, aimed at valid
 ating the numerical results\, will also be discussed.\n
LOCATION:https://researchseminars.org/talk/CRM-CAMP/38/
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