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Homogenization of the distribution-dependent stochastic abstract fluid models

Analysis of PDEs 2024-12-20 v3

Abstract

In this paper, we study the homogenization of the distribution-dependent stochastic abstract fluid models by combining the two ⁣ ⁣scaletwo\!-\!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.

Keywords

Cite

@article{arxiv.2310.08111,
  title  = {Homogenization of the distribution-dependent stochastic abstract fluid models},
  author = {Junlong Chen and Zhaoyang Qiu and Yanbin Tang},
  journal= {arXiv preprint arXiv:2310.08111},
  year   = {2024}
}

Comments

We corrected some minor errors