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arXiv · 2310.08111

Homogenization of the distribution-dependent stochastic abstract fluid models

Junlong Chen·Zhaoyang Qiu·Yanbin Tang
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Abstract

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.

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Junlong Chen, Zhaoyang Qiu, Yanbin Tang. 2023-10-12. Homogenization of the distribution-dependent stochastic abstract fluid models. https://arxiv.org/abs/2310.08111

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