Global bounded solution in an attraction repulsion Chemotaxis-Navier-Stokes system with Neumann and Dirichlet boundary conditions

被引：0

作者：

Xu, Luli ^{[1
]}

Mu, Chunlai ^{[1
]}

Zhang, Minghua ^{[1
]}

Zhang, Jing ^{[1
]}

机构：

[1] Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2025年 / 82卷

关键词：

Chemotaxis-Navier-Stokes system; Attraction-repulsion; Signal consumption; Dirichlet boundary condition; Boundedness; NONLINEAR DIFFUSION; WEAK SOLUTIONS; FLUID SYSTEM; EXISTENCE; STABILIZATION; AGGREGATION; SENSITIVITY;

D O I：

10.1016/j.nonrwa.2024.104247

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with an attraction-repulsion Chemotaxis-Navier-Stokes system with Dirichlet boundary for the attraction signal and Neumann boundary for the repulsion signal. Based on the work of Winkler (2020) and Wang et al. (2022), by using a series estimates, it is shown that in two dimension the classical solution of the system is globally bounded, under the condition of small initial values IIn0IIL1(Q) in the explicit expressions for IIc0IIL infinity(Q) and attraction-repulsion coefficients.

引用

页数：16

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