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arXiv · 2412.12866

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

Dong Su·Hui Liu·Yangyang Shi
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Abstract

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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Dong Su, Hui Liu, Yangyang Shi. 2024-12-17. Stochastic homogenization for two dimensional Navier--Stokes equations with random coefficients. https://arxiv.org/abs/2412.12866

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