June 23, 2024Open Access

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

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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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Chen et al. (Sun,) studied this question.

synapsesocial.com/papers/68e63ae4b6db6435875cc7fd https://doi.org/https://doi.org/10.48550/arxiv.2406.16262

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