Special Session 87: Mathematical Insights into Phase-Field Models

Fast reaction limit in a stochastic competition-diffusion system
Danielle Hilhorst
CNRS and Universiy Paris-Saclay
France
Co-Author(s):    Perla El Kettani, Kunwoo Kim
Abstract:
We study the fast reaction limit of a stochastic competition-diffusion system and prove that its solution converges to the unique solution of a stochastic Stefan problem with zero latent heat as the reaction term tends to infinity.