Graduate Student Seminar: Global regularity for temperature patches in ideal convection Speaker: Hezekiah Grayer

Abstract: The dynamics of temperature patches in ideal convection are Yudovich weak solutions whose regularity is examined. We apply the geometric tools of Bertozzi and Constantin [https://doi.org/10.1007/BF02097055] and the theory of singular integrals to prove that the boundary of a temperature patch will not develop corners if it initially has none.

About the speaker: Hezekiah is a PhD candidate in the Applied and Computational Mathematics at Princeton University. He studies  dynamical properties of confined flows near equilibrium. His academic goals intersect fluid mechanics, plasma physics, and partial differential equations.