Boundedness of solutions to a 2D chemotaxis-Navier-Stokes system with general sensitivity and nonlinear diffusion

被引：2

作者：

Nam, Kwang-Myong ^{[1
]}

Li, Kwang-Ok ^{[2
]}

Kim, Yong -Ho ^{[2
]}

机构：

[1] Pyongyang Univ Architecture, Dept Construct Engn, Pyongyang 999093, North Korea

[2] Univ Sci, Dept Math, Pyongyang, North Korea

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2023年 / 73卷

关键词：

Chemotaxis; Navier-Stokes; Nonlinear diffusion; Boundedness; GLOBAL CLASSICAL-SOLUTIONS; WEAK SOLUTIONS; MODELS;

D O I：

10.1016/j.nonrwa.2023.103906

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the chemotaxis-Navier-Stokes system with the density equation nt + u center dot del n =Delta n(m) - del center dot (nS( x, n, c)del c) in a bounded domain Omega subset of R-2. This paper gives results for global existence, boundedness and stabilization of solutions to the system provided that m > 1 + 4 alpha/3, |S( x, n, c)| <= S(0)n(alpha), S0 > 0, alpha >= 0, without smallness conditions on initial data. (c) 2023 Elsevier Ltd. All rights reserved.

引用

页数：15

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