Homogenization of the distribution-dependent stochastic abstract fluid models
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866916531454083072 |
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| author | Chen, Junlong Qiu, Zhaoyang Tang, Yanbin |
| author_facet | Chen, Junlong Qiu, Zhaoyang Tang, Yanbin |
| contents | In this paper, we study the homogenization of the distribution-dependent stochastic abstract fluid models by combining the $two\!-\!scale$ convergence and martingale representative approach. A general framework of the homogenization research is established for stochastic abstract fluid models which are the type of nonlinear partial differential equations including the (distribution-dependent) stochastic Navier-Stokes equations, stochastic magneto-hydrodynamic equations, stochastic Boussinesq equations, stochastic micropolar equations, stochastic Allen-Cahn equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_08111 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Homogenization of the distribution-dependent stochastic abstract fluid models Chen, Junlong Qiu, Zhaoyang Tang, Yanbin Analysis of PDEs In this paper, we study the homogenization of the distribution-dependent stochastic abstract fluid models by combining the $two\!-\!scale$ convergence and martingale representative approach. A general framework of the homogenization research is established for stochastic abstract fluid models which are the type of nonlinear partial differential equations including the (distribution-dependent) stochastic Navier-Stokes equations, stochastic magneto-hydrodynamic equations, stochastic Boussinesq equations, stochastic micropolar equations, stochastic Allen-Cahn equations. |
| title | Homogenization of the distribution-dependent stochastic abstract fluid models |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2310.08111 |