Directed Mean Curvature Flow in Noisy Environment

Explore the intricacies of directed mean curvature flow in a noisy environment through this illuminating seminar presented by Martin Hairer from Imperial College London. Delve into the analysis of a rescaled and recentred solution of directed mean curvature flow on the plane in a weak Gaussian random environment, and discover its convergence to the KPZ equation in a suitable scaling limit. Examine the broader implications of this research, which stems from the study of a more general system of nonlinear stochastic PDEs driven by inhomogeneous noises, utilizing the theory of regularity structures. Gain insights into this collaborative work with Andris Gerasimovics (U. Bath) and Konstantin Matetski (U. Columbia), presented as part of the Society for Industrial and Applied Mathematics' Seminar in the Analysis and Methods of PDE series.