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

共 39 条

[21] Global weak solutions for the three-dimensional chemotaxis-Navier-Stokes system with slow p-Laplacian diffusion [J].

Tao, Weirun ;

Li, Yuxiang .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2019, 45 :26-52

[22] Eventual smoothness and stabilization of large-data solutions in a three-dimensional chemotaxis system with consumption of chemoattractant [J].

Tao, Youshan ;

Winkler, Michael .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2012, 252 (03) :2520-2543

[23] Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity [J].

Tao, Youshan ;

Winkler, Michael .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2012, 252 (01) :692-715

[24] Boundedness in a chemotaxis model with oxygen consumption by bacteria [J].

Tao, Youshan .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 381 (02) :521-529

[25]

Temam R., 1977, NAVIER STOKES EQUATI

[26] Bacterial swimming and oxygen transport near contact lines [J].

Tuval, I ;

Cisneros, L ;

Dombrowski, C ;

Wolgemuth, CW ;

Kessler, J ;

Goldstein, RE .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2005, 102 (07) :2277-2282

[27] Boundedness for a 3D chemotaxis-Stokes system with porous medium diffusion and tensor-valued chemotactic sensitivity [J].

Wang, Yilong ;

Li, Xie .

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2017, 68 (02)

[28] Global large-data generalized solutions in a two-dimensional chemotaxis-Stokes system with singular sensitivity [J].

Wang, Yilong .

BOUNDARY VALUE PROBLEMS, 2016,

[29]

Winkler M., 2016, preprint

[30] Global existence and stabilization in a degenerate chemotaxis-Stokes system with mildly strong diffusion enhancement [J].

Winkler, Michael .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2018, 264 (10) :6109-6151

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