Hugh C. Morris Distinguished Lecture: Inwon Kim
Topic
Supercooled Stefan Problem: Fine Properties of the Interface
Speakers
Details
We are extremely pleased to announce that Dr. Inwon Kim, Professor of Mathematics at UCLA, will deliver an upcoming lecture in the Hugh C. Morris Lecture Series. Dr. Kim is internationally recognized for her influential work in analysis and PDEs, particularly in understanding interface motion and phase transitions in physical and biological systems.
Abstract: Supercooled Stefan problem describes freezing of supercooled water into Ice. In contrast to the melting of ice, the problem is well-known to be unstable. In particular the ice-water interface develops finite-time singularities including jumps and cusps, generating infinitely many solutions for a given initial data. Based on a recent global-time existence result, we discuss the geometry of the ice-water interface, regularity, and selection principle among solutions, by means of stochastic optimization as well as PDE methods.
The talk is based on joint works with Raymond Chu (CMU), Max Engelstein (UMN), and Sebastian Munoz (UCLA).
The Hugh C. Morris Lecture Series was generously endowed by Dr. Hugh Morris (1932–2012), former Chair of the PIMS Board of Directors and long-time supporter of mathematical scholarship. This series continues to celebrate excellence and innovation across the mathematical sciences.
Additional Information
About the speaker:
Inwon Kim is a distinguished Professor of Mathematics at UCLA, renowned for her work in analysis, particularly Partial Differential Equations (PDEs) and free boundary problems, with applications in physical and biological systems like tumor growth, fluid dynamics, and phase transitions (melting/freezing). Her research focuses on understanding complex interface motions, using variational methods to study phenomena like the unstable Supercooled Stefan Problem, which describes ice formation with singularities.