Large deviations for 2D Stochastic Chemotaxis-Navier-Stokes System

Yunfeng Chen; Xuhui Peng; Jianliang Zhai

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arXiv · 2406.16262

Large deviations for 2D Stochastic Chemotaxis-Navier-Stokes System

Yunfeng Chen·Xuhui Peng·Jianliang Zhai

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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.

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Yunfeng Chen, Xuhui Peng, Jianliang Zhai. 2024-06-24. Large deviations for 2D Stochastic Chemotaxis-Navier-Stokes System. https://arxiv.org/abs/2406.16262

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