A stochastic mass conserved reaction-diffusion equation with nonlinear diffusion
Perla El Kettani, Dorothea Hilhorst, Kai N. Lee · Discrete and Continuous Dynamical Systems · 2018
In this paper, we prove a well posedness result for an initial boundary value problem for a stochastic nonlocal reaction-diffusion equation with nonlinear diffusion together with a nul-flux boundary condition in an open bounded domain of $\mathbb{R}^n$ with a smooth boundary. We suppose that the additive noise is induced by a Q-Brownian motion.