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SUMMARY:Energy balance for weak solutions of the 2D Incompressible Euler e
 quations. - Milton  da Costa Lopes Filho (Universidade Federal do Rio de J
 aneiro (UFRJ))
DTSTART:20220322T110000Z
DTEND:20220322T120000Z
UID:TALK171590@talks.cam.ac.uk
DESCRIPTION:In 2016\, Cheskidov et al. proved that physically realizable w
 eak solutions of the incompressible 2D Euler equations on a torus conserve
  kinetic energy. Physically realizable weak solutions are those that can b
 e obtained as limits of vanishing viscosity. The key hypothesis was bounde
 dness of the initial vorticity in Lp\, p > 1. In this talk we explore an e
 xtension of this result to flows subject to external forcing. We seek cond
 itions on the regularity of the forcing to derive the corresponding energy
  conservation identity.
LOCATION:Seminar Room 2\, Newton Institute
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