Large deviations for 2D Stochastic Chemotaxis-Navier-Stokes System
Probability
2024-06-25 v1
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.
Cite
@article{arxiv.2406.16262,
title = {Large deviations for 2D Stochastic Chemotaxis-Navier-Stokes System},
author = {Yunfeng Chen and Xuhui Peng and Jianliang Zhai},
journal= {arXiv preprint arXiv:2406.16262},
year = {2024}
}