Fast flow asymptotics for stochastic incompressible viscous fluids in R2\mathbb{R}^2 and SPDEs on graphs

preprint2016arXivOpen access

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.

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