Fast flow asymptotics for stochastic incompressible viscous fluids in ${\mathbb{R}}^2$ and SPDEs on graphs

Abstract

Fast advection asymptotics for a stochastic reaction-diffusion-advection equation are studied in this paper. To describe the asymptotics, one should consider a suitable class of SPDEs defined on a graph, corresponding to the stream function of the underlying incompressible flow.