Joint Sydney and UNSW Stochastic PDE Seminar

Struwe solutions are well-known in the study of harmonic map heat flow and related equations. These globally existing weak solutions are smooth away from at most finitely many singularities (for 2D-domains). We aim to explore their stochastic counterpart, where time of occurrence and location of singularities need to be reformulated in a stochastic setting. We first review the deterministic case, then outline key steps towards the stochastic case, and finally discuss the regularity assumptions imposed on the noise.

This talk/series of talks is based on a joint work with Ben Goldys (USYD) and Christof Melcher (RWTH Aachen University).