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Stochastic homogenization for two dimensional Navier--Stokes equations with random coefficients

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arxiv 2412.12866 v1 pith:R6XC3SVM submitted 2024-12-17 math.AP

Dong Su , Hui Liu , Yangyang Shi This is my paper
classification math.AP
keywords coefficientsdimensionalequationsnavier--stokesrandomhomogenizationsolutionstochastic
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This paper derives the stochastic homogenization for two dimensional Navier--Stokes equations with random coefficients. By means of weak convergence method and Stratonovich--Khasminskii averaging principle approach, the solution of two dimensional Navier--Stokes equations with random coefficients converges in distribution to the solution of two dimensional Navier--Stokes equations with constant coefficients.

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