Ergodicity for Singular-Degenerate Stochastic Porous Media Equations
Marius Neuß · Journal of Dynamics and Differential Equations · 2021
Abstract The long time behaviour of solutions to generalized stochastic porous media equations on bounded intervals with zero Dirichlet boundary conditions is studied. We focus on a degenerate form of nonlinearity arising in self-organized criticality. Based on the so-called lower bound technique, the existence and uniqueness of an invariant measure is proved.