Applied Math And Analysis Seminar
Tuesday, December 15, 2020, 3:15pm, Virtual
Hyunju Kwon (IAS)
On Hölder continuous globally dissipative Euler flows
Abstract:
In the theory of turbulence, a famous conjecture of Onsager asserts that the threshold Hölder regularity for the total kinetic energy conservation of (spatially periodic) Euler flows is 1/3. In particular, there are Hölder continuous Euler flows with Hölder exponent less than 1/3 exhibiting strict energy dissipation, as proved recently by Isett. In light of these developments, I'll discuss Hölder continuous Euler flows which not only have energy dissipation but also satisfy a local energy inequality. This is joint work with Camillo De Lellis.

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