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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2412.12866 |
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| _version_ | 1866912159852658688 |
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| author | Su, Dong Liu, Hui Shi, Yangyang |
| author_facet | Su, Dong Liu, Hui Shi, Yangyang |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_12866 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stochastic homogenization for two dimensional Navier--Stokes equations with random coefficients Su, Dong Liu, Hui Shi, Yangyang Analysis of PDEs 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. |
| title | Stochastic homogenization for two dimensional Navier--Stokes equations with random coefficients |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2412.12866 |