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SUMMARY:Uniqueness of shock waves under small perturbations for the Isentr
 opic Euler Equations - William Golding (University of Texas at Austin)
DTSTART:20220504T100000Z
DTEND:20220504T110000Z
UID:TALK172673@talks.cam.ac.uk
DESCRIPTION:We consider bounded entropy solutions of the isentropic Euler 
 equations with gamma = 3. We use the kinetic formulation of the equations 
 and a De Giorgi type argument to show weak solutions of this type possess 
 some a priori regularity. Combined with the relative entropy method\, we a
 re able to show uniqueness for small shocks under small perturbations\, bu
 t without any regularity assumptions on the perturbation. This result prov
 ides a limit on the possible types of solutions constructible by convex in
 tegration techniques
LOCATION:Seminar Room 2\, Newton Institute
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