Results
Title

Large deviations for 2D stochastic Chemotaxis-Navier-Stokes system.

Authors

Chen, Yunfeng; Peng, Xuhui; Zhai, Jianliang

Abstract

In this paper, we establish a large deviation principle for 2D stochastic Chemotaxis-Navier-Stokes equation perturbed by a small multiplicative noise. The main difficulties come from the lack of a suitable compact embedding into the space occupied by the solutions and the inherent complexity of equation. Finite dimensional projection arguments and introducing suitable stopping times play important roles.

Subjects

LARGE deviations (Mathematics); STOCHASTIC systems; COMPACT spaces (Topology); EQUATIONS; NOISE

Publication

Communications on Pure & Applied Analysis, 2025, Vol 24, Issue 4, p1

ISSN

1534-0392

Publication type

Academic Journal

DOI

10.3934/cpaa.2025005