I'm Khang Manh Huynh, a PhD student at UCLA. My advisor is Terence Tao and my interests include PDEs, harmonic analysis, microlocal analysis and Riemannian geometry.
(1st half of thesis) Hodge-theoretic analysis on manifolds with boundary, heatable currents, and Onsager's conjecture in fluid dynamics (arxiv preprint)
A geometric trapping approach to global regularity for 2D Navier-Stokes on manifolds (arxiv preprint)
A note on the Turing universality of homogeneous potential wells and geodesible flows (arxiv preprint)
(2nd half of thesis) Construction of the Hodge-Neumann heat kernel, local Bernstein
estimates, and Onsager's conjecture in fluid dynamics (arxiv preprint)
