Boundedness of solutions for a quasilinear chemotaxis-haptotaxis model

被引：1
作者：
Ren, Guoqiang [1 ,2 ]
Liu, Bin [1 ,2 ]
机构：
[1] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Hubei, Peoples R China
[2] Huazhong Univ Sci & Technol, Hubei Key Lab Engn Modeling & Sci Comp, Wuhan 430074, Hubei, Peoples R China
来源：
HOKKAIDO MATHEMATICAL JOURNAL | 2021年 / 50卷 / 02期
关键词：
Chemotaxis-haptotaxis; Boundedness; Global existence; KELLER-SEGEL SYSTEM; LARGE TIME BEHAVIOR; GLOBAL EXISTENCE; BLOW-UP; NONLINEAR DIFFUSION; ROLES;
D O I：
10.14492/hokmj/2018-944
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we deal with the chemotaxis-haptotaxis system with logistic source under homogeneous Neumann boundary conditions in a bounded convex domain with smooth boundary. Under appropriate regularity assumptions on the initial data, by L-P-estimate techniques, we show that the system possesses at least one global and bounded weak solution. Our results generalize and improve previous results.
引用
收藏
页码：207 / 245
页数：39
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