SPD

Abstract

We will study several properties (well-posedeness, regularity, absolute continuity of the distribution) of the stochastic Allen-Cahn/Cahn-Hilliard equation in dimension 1 up to 3 when the when the forcing term is multiplicative and driven by space-time white noise. This equation models adsorption/desorption dynamics, Metropolis surface diffusion and simple unimocular reaction at the interface between two medias. This a joint work with D. Antonopoulou, G. Karali and Y. Nagase.