Averaging principle for multiscale stochastic PDEs with fully local monotone coefficients

This work establishes a strong averaging principle for a broad class of multiscale stochastic partial differential equations under fully local monotonicity conditions, significantly generalizing some previous results. The main result is applicable to several new multiscale SPDE models, including stochastic Cahn-Hilliard equations, stochastic 2D Liquid crystal equations and stochastic tamed 3D Navier-Stokes equations.

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Publication Details

Journal
Discrete and Continuous Dynamical Systems - S
Published
2025-01-01
DOI
https://doi.org/10.3934/dcdss.2025074
Citations
1
Primary Topic
Advanced Mathematical Modeling in Engineering
Type
article
Field-Weighted Citation Impact
1.50

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article

Averaging principle for multiscale stochastic PDEs with fully local monotone coefficients

Wei Liu, Wei Hong, Luhan Yang, Shiyuan Yang
1 citations
Discrete and Continuous Dynamical Systems - S
Advanced Mathematical Modeling in Engineering
1.50
article

Averaging principle for multiscale stochastic PDEs with fully local monotone coefficients

Wei Liu, Wei Hong, Luhan Yang, Shiyuan Yang
article en
1 citations

Abstract

This work establishes a strong averaging principle for a broad class of multiscale stochastic partial differential equations under fully local monotonicity conditions, significantly generalizing some previous results. The main result is applicable to several new multiscale SPDE models, including stochastic Cahn-Hilliard equations, stochastic 2D Liquid crystal equations and stochastic tamed 3D Navier-Stokes equations.

Discrete and Continuous Dynamical Systems - SVol. 18(10)
Jiangsu Normal University (CN), Nankai University (CN)
National Natural Science Foundation of China, Government of Jiangsu Province, Priority Academic Program Development of Jiangsu Higher Education Institutions
Openalex Percentile: Top 17%
Advanced Mathematical Modeling in Engineering
1.50
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