Work

Averaging principle for multiscale stochastic PDEs with fully local monotone coefficients

Year: 2025

Type: article

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.

Source: Discrete and Continuous Dynamical Systems - S

DOI: 10.3934/dcdss.2025074

Authors: Wei Hong, Wei Liu, Luhan Yang, Shiyuan Yang

Institutions: Jiangsu Normal University, Nankai University

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: National Natural Science Foundation of China, Government of Jiangsu Province, Priority Academic Program Development of Jiangsu Higher Education Institutions

Awards: G1582303726, G3701778458, G7590551094