Boundedness of solutions to a chemotaxis-haptotaxis model with nonlocal terms

被引：0

作者：

Ren, Guoqiang ^{[1
,2
]}

机构：

[1] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Peoples R China

[2] Huazhong Univ Sci & Technol, Hubei Key Lab Engn Modeling & Sci Comp, Wuhan 430074, Peoples R China

来源：

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2024年 / 31卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Chemotaxis-haptotaxis; Nonlocal terms; Boundedness; Logistic source; GLOBAL EXISTENCE; BLOW-UP; ASYMPTOTIC-BEHAVIOR; NONLINEAR REACTION; CANCER INVASION; LOGISTIC SOURCE; SYSTEM; DIFFUSION; TIME; BOUNDARY;

D O I：

10.1007/s00030-023-00908-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the chemotaxis-haptotaxis model of two different types (parabolic-elliptic, fully parabolic) with nonlocal terms under Neumann boundary conditions in a bounded domain with smooth boundary. We show that the system possesses a unique global classical solution in different cases. Our results generalize and improve partial previously known ones.

引用

页数：34

共 50 条

[41] A CHEMOTAXIS-HAPTOTAXIS MODEL: THE ROLES OF NONLINEAR DIFFUSION AND LOGISTIC SOURCE
Tao, Youshan
Winkler, Michael
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2011, 43 (02) : 685 - 704
[42] Optimal control for a chemotaxis-haptotaxis model in two space dimensions
Tang, Hui
Yuan, Yunfei
BOUNDARY VALUE PROBLEMS, 2022, 2022 (01)
[43] GLOBAL EXISTENCE AND BOUNDEDNESS OF SOLUTION OF A PARABOLIC-PARABOLIC-ODE CHEMOTAXIS-HAPTOTAXIS MODEL WITH (GENERALIZED) LOGISTIC SOURCE
Liu, Ling
Zheng, Jiashan
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2019, 24 (07): : 3357 - 3377
[44] Global Mild Solution for a Chemotaxis-Haptotaxis Model of Tumor Invasion
Wang, Mingjun
Li, Minghao
ISCSCT 2008: INTERNATIONAL SYMPOSIUM ON COMPUTER SCIENCE AND COMPUTATIONAL TECHNOLOGY, VOL 2, PROCEEDINGS, 2008, : 613 - 616
[45] Boundedness in a three-dimensional chemotaxis–haptotaxis model
Xinru Cao
Zeitschrift für angewandte Mathematik und Physik, 2016, 67
[46] Boundedness of the solution of a higher-dimensional parabolic-ODE-parabolic chemotaxis-haptotaxis model with generalized logistic source
Zheng, Jiashan
NONLINEARITY, 2017, 30 (05) : 1987 - 2009
[47] BOUNDEDNESS OF SOLUTIONS TO A QUASILINEAR HIGHER-DIMENSIONAL CHEMOTAXIS HAPTOTAXIS MODEL WITH NONLINEAR DIFFUSION
Zheng, Jiashan
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2017, 37 (01) : 627 - 643
[48] A quasilinear chemotaxis-haptotaxis model: The roles of nonlinear diffusion and logistic source
Liu, Ji
Wang, Yifu
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (06) : 2107 - 2121
[49] A Review on the Qualitative Behavior of Solutions in Some Chemotaxis-Haptotaxis Models of Cancer Invasion
Wang, Yifu
MATHEMATICS, 2020, 8 (09)
[50] Global boundedness of weak solutions to a chemotaxis–haptotaxis model with p-Laplacian diffusion
Jinhuan Wang
Haomeng Chen
Mengdi Zhuang
Zeitschrift für angewandte Mathematik und Physik, 2023, 74

← 1 2 3 4 5 →