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Autores principales: Chen, Yunfeng, Peng, Xuhui, Zhai, Jianliang
Formato: Preprint
Publicado: 2024
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Acceso en línea:https://arxiv.org/abs/2406.16262
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author Chen, Yunfeng
Peng, Xuhui
Zhai, Jianliang
author_facet Chen, Yunfeng
Peng, Xuhui
Zhai, Jianliang
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2406_16262
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Large deviations for 2D Stochastic Chemotaxis-Navier-Stokes System
Chen, Yunfeng
Peng, Xuhui
Zhai, Jianliang
Probability
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.
title Large deviations for 2D Stochastic Chemotaxis-Navier-Stokes System
topic Probability
url https://arxiv.org/abs/2406.16262