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On Hölder continuous globally dissipative Euler flows

Applied Math and Analysis Seminar
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Tuesday, December 15, 2020
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3:15 pm - 4:15 pm
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Hyunju Kwon
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Applied Math And Analysis Seminar

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.

Contact Tarek Elgindi (tarek.elgindi@duke.edu) for zoom link.

Contact: Tarek Elgindi