Homogenization of the distribution-dependent stochastic abstract fluid models

arXiv (Cornell University)(2023)

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摘要
In this paper, we consider 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 is the type of genuine-nonlinear partial differential equations including the (distribution-dependent) stochastic Navier-Stokes equations, stochastic magneto-hydrodynamic equations, stochastic Boussinesq equations, stochastic micropolar equations.
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