SUB-LOGISTIC SOURCE CAN PREVENT BLOW-UP IN THE CHEMOTAXIS-NAVIER-STOKES SYSTEM

被引：0

作者：

Ma, Qingkui ^{[1
]}

机构：

[1] Cent South Univ, Sch Math & Stat, Changsha 410083, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2024年

关键词：

Chemotaxis-Navier-Stokes system; sub-logistic sources; global existence; boundedness; large time behavior; KELLER-SEGEL SYSTEMS; GLOBAL EXISTENCE; HAPTOTAXIS MODEL; WEAK SOLUTIONS; BOUNDEDNESS; STABILIZATION; CONSUMPTION; CHEMOATTRACTANT;

D O I：

10.3934/dcdsb.2024178

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The present work is dedicated to the study of the chemotaxisNavier-Stokes system with kinetic sources under homogeneous Neumann boundary conditions in a two-dimensional bounded domain ohm subset of R-2 with smooth boundary. For some cell kinetics involving sub-logistic sources, we obtain the global existence and uniform-in-time boundedness for the corresponding 2D Neumann initial boundary value problem. Our conclusions improve the existing global existence and boundedness in the related chemotaxis-Navier-Stokes system in 2D.

引用

页数：33

共 50 条

[41] Global Existence and Blow-Up for a Chemotaxis System
Chen, Xueyong
Hu, Fuxing
Zhang, Jianhua
Shen, Jianwei
MATHEMATICAL MODELLING AND ANALYSIS, 2017, 22 (02) : 237 - 251
[42] Blow-up in a higher-dimensional chemotaxis system despite logistic growth restriction
Winkler, Michael
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 384 (02) : 261 - 272
[43] Finite-time blow-up of solution for a chemotaxis model with singular sensitivity and logistic source
Jing Zhang
Chunlai Mu
Xinyu Tu
Zeitschrift für angewandte Mathematik und Physik, 2023, 74
[44] Global Solvability of Two-Dimensional Stochastic Chemotaxis-Navier-Stokes System
Xu, Fan
Liu, Bin
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2024,
[45] Boundedness and finite-time blow-up in a quasilinear chemotaxis system with space dependent logistic source and nonlinear production
Zhu, Neng
Wang, Wanwan
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2025, 84
[46] Global well-posedness of axisymmetric solution to the 3D axisymmetric chemotaxis-Navier-Stokes equations with logistic source
Zhang, Qian
Zheng, Xiaoxin
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 274 : 576 - 612
[47] CONVERGENCE RATES OF SOLUTIONS FOR A TWO-DIMENSIONAL CHEMOTAXIS-NAVIER-STOKES SYSTEM
Zhang, Qingshan
Li, Yuxiang
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2015, 20 (08): : 2751 - 2759
[48] Global boundedness of solutions for the chemotaxis-Navier-Stokes system in R2
Li, Yan
Li, Yuxiang
JOURNAL OF DIFFERENTIAL EQUATIONS, 2016, 261 (11) : 6570 - 6613
[49] Large Time Behavior in a Fractional Chemotaxis-Navier-Stokes System with Competitive Kinetics
Lei, Yuzhu
Liu, Zuhan
Zhou, Ling
ACTA APPLICANDAE MATHEMATICAE, 2022, 179 (01)
[50] On the blow-up phenomena of the compressible Navier-Stokes-Korteweg system with degenerate viscosity
Tang, Tong
Wei, Xu
Ling, Zhi
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (06) : 6470 - 6483

← 1 2 3 4 5 →