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On Hölder continuous globally dissipative Euler flows

Hyunju Kwon (IAS)
Wednesday, December 2, 2020 - 4:00pm to 5:00pm
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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