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Caltech/UCLA Joint Analysis Seminar

Friday, October 4, 2019
5:30pm to 6:20pm
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Linde Hall 310
Hodge-theoretic analysis on manifolds with boundary, heatable currents, and Onsager's conjecture in fluid dynamics
Khang Huynh, Mathematics Department, UCLA,

We use Hodge theory and functional analysis to develop a clean approach to heat flows and Onsager's conjecture on Riemannian manifolds with boundary, where the weak solution lies in the trace-critical Besov space B_{13}^{3,1} . We also introduce heatable currents as the natural analogue to tempered distributions and justify their importance in Hodge theory.

For more information, please contact Math Department by phone at 626-395-4335 or by email at