Stochastic homogenization for two dimensional Navier--Stokes equations with random coefficients
Analysis of PDEs
2024-12-18 v1
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.
Cite
@article{arxiv.2412.12866,
title = {Stochastic homogenization for two dimensional Navier--Stokes equations with random coefficients},
author = {Dong Su and Hui Liu and Yangyang Shi},
journal= {arXiv preprint arXiv:2412.12866},
year = {2024}
}