Global existence in a three-dimensional chemotaxis-Stokes system with ρ-Laplacian diffusion and singular sensitivity

被引：0

作者：

He, Ruina ^{[1
]}

Li, Zhongping ^{[1
]}

机构：

[1] China West Normal Univ, Coll Math & Informat, Nanchong 637002, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2025年 / 85卷

关键词：

Global existence; Chemotaxis; Singular sensitivity; p-Laplacian diffusion; Logistic source; KELLER-SEGEL SYSTEM; ASYMPTOTIC-BEHAVIOR; WEAK SOLUTIONS; BOUNDEDNESS; MODEL; STABILIZATION; CONSUMPTION;

D O I：

10.1016/j.nonrwa.2025.104339

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper considers the following chemotaxis-Stokes system {n(t)+u & sdot;del(n)=del & sdot;(|del n|(p-2)del(n))-chi del & sdot;((n)/(c)del c)+n(r-mu n(delta)), c(t)+u & sdot;del c=Delta c-nc, u(t)=Delta u+del P+n del Phi in a smooth bounded domain Omega subset of R-3 with no-flux/no-flux/Dirichlet boundary conditions. It is shown that there exists a global weak solution when p >= 2 and delta>(3)/(2), which removes the restriction p> min {(6 delta+1)/(2(2 delta-1)), (2 delta(delta+2))/((2 delta+3)(delta-1)) and improves the result of the paper (Han and Liu, 2023).

引用

页数：13