BOUNDEDNESS IN A FLUX-LIMITED CHEMOTAXIS-HAPTOTAXIS MODEL WITH NONLINEAR DIFFUSION

被引：1

作者：

Wang, Hui ^{[1
]}

Zheng, Pan ^{[1
,2
,3
]}

Hu, Runlin ^{[1
]}

机构：

[1] Chongqing Univ Posts & Telecommun, Coll Sci, Chongqing 400065, Peoples R China

[2] Univ Hong Kong, Shatin, Dept Math Chinese, Hong Kong, Peoples R China

[3] Yunnan Univ, Sch Math & Stat, Kunming 650091, Peoples R China

来源：

EVOLUTION EQUATIONS AND CONTROL THEORY | 2023年 / 12卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Boundedness; chemotaxis-haptotaxis; flux-limitation; nonlinear diffusion; CLASSICAL-SOLUTIONS; GLOBAL EXISTENCE; SYSTEM;

D O I：

10.3934/eect.2023004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with a flux-limited chemotaxis-haptotaxis system with nonlinear diffusion { u(t) = del center dot (D(u)del u) - chi del center dot (u|del v|(p-2)del v) - xi del center dot (u del w) + mu u(1 - u - w), v(t) = Delta v - v + u, w(t) = -vw, in Omega x (0, infinity), where Omega subset of R-n(n >= 2) is a smoothly bounded domain, chi, xi and mu are positive parameters, D(u) >= (u + 1)(-alpha) with 2-n/2n < alpha < 1/n . It is shown that for sufficiently smooth nonnegative initial data (u(0), v(0), w(0)) and 1 < p < n/n-1 (1 - alpha), the corresponding initial-boundary problem possesses a unique nonnegative global classical solution, which is uniformly bounded in time.

引用

页码：1133 / 1144

页数：12

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