Local Dissipation of Energy for Continuous Incompressible Euler Flows

Local Dissipation of Energy for Continuous Incompressible Euler Flows

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Philip Isett, Caltech
Fine Hall 314

I will discuss the construction of continuous solutions to the incompressible Euler equations that exhibit local dissipation of energy and the surrounding motivations.  A significant open question, which represents a strong form of the Onsager conjecture, is whether such solutions exist that locally dissipate energy while having the maximal possible regularity of being 1/3-Hölder continuous.