Supercooled Stefan problem: fine properties of the interface

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).

This is a Hugh C. Morris sponsored lecture (via PIMS).

***** There will be coffee, tea and snacks at PIMS from 2:30 PM to 3 PM.

*****Zoom information:

https://ubc.zoom.us/s/68285564037

Meeting ID: 682 8556 4037

Passcode: 636252