汤燕斌

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Homogenization of the distribution-dependent stochastic abstract fluid models
Release time:2025-01-01  Hits:

Indexed by: Journal paper

First Author: Junlong Chen

Correspondence Author: Zhaoyang Qiu

Co-author: Yanbin Tang

Journal: Journal of Differential Equations

Included Journals: SCI

Discipline: Science

First-Level Discipline: Mathematics

Document Type: J

Volume: 423

Page Number: 41-80

ISSN No.: 0022-0396

Key Words: Homogenization; Nonlinear stochastic partial differential equations; Distribution-dependent; Two−scale convergence

DOI number: 10.1016/j.jde.2024.12.026

Date of Publication: 2025-01-01

Impact Factor: 1.938

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 flfluid 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.

Links to published journals: https://doi.org/10.1016/j.jde.2024.12.026