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SUMMARY:Vlad Vicol (Courant Institute of Mathematical Sciences\, NYU)
DTSTART:20201105T163000Z
DTEND:20201105T173000Z
DTSTAMP:20260423T040042Z
UID:SIAM-PDE/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SIAM-PDE/5/"
 >Shock formation and vorticity creation for compressible Euler</a>\nby Vla
 d Vicol (Courant Institute of Mathematical Sciences\, NYU) as part of Semi
 nar In the Analysis and Methods of PDE (SIAM PDE)\n\n\nAbstract\nIn this t
 alk\, I will discuss a long term project\, joint with Tristan Buckmaster a
 nd Steve Shkoller\, concerning the formation of singularities (shocks) for
  the compressible Euler equations with the ideal gas law. We provide a con
 structive proof of stable shock formation from smooth initial datum\, of f
 inite energy\, and with no vacuum regions. Via modulated self-similar vari
 ables\, the blow-up time and location can be explicitly computed\, and at 
 the blow-up time\, the solutions can be shown to have precisely Holder 1/3
  regularity. Additionally\, for the non-isentropic problem sounds waves in
 teract with entropy waves to produce vorticity at the shock.\n
LOCATION:https://researchseminars.org/talk/SIAM-PDE/5/
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