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 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