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SUMMARY:On admissibility criteria for the compressible Euler equations - S
 imon Markfelder
DTSTART:20251013T130000Z
DTEND:20251013T140000Z
UID:TALK235537@talks.cam.ac.uk
CONTACT:Zoe Wyatt
DESCRIPTION:In the past years\, results based on a technique called convex
  integration have drawn lots of interest within the community of mathemati
 cal fluid mechanics. Among other fascinating results\, this technique allo
 ws to prove existence of infinitely many solutions for the multi-dimension
 al compressible Euler equations. All these solutions satisfy the energy in
 equality which is commonly used in the literature to identify physically r
 elevant solutions. On the other hand\, intuitively at least some of the in
 finitely many solutions still seem to be non-physical. For this reason one
  has studied additional admissibility criteria like the maximal energy dis
 sipation criterion or the least action criterion -- to no avail: such crit
 eria do not select the solution which is expected to be the physical one.\
 nIn this talk we give an overview on the aforementioned non-uniqueness res
 ults\, and we explain why maximal dissipation as well as the least action 
 criterion fail to single out the solution which is presumably the physical
  solution. 
LOCATION:Lecture Room 2 in the gatehouse at INI
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