Global boundedness in a two-dimensional chemotaxis system with nonlinear diffusion and singular sensitivity

被引：0
|
作者：
Ren, Guoqiang [1 ,2 ]
Zhou, Xing [1 ]
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：
ADVANCES IN NONLINEAR ANALYSIS | 2024年 / 13卷 / 01期
关键词：
chemotaxis; singular sensitivity; global boundedness; nonlinear diffusion; KELLER-SEGEL SYSTEM; BLOW-UP PREVENTION; LOGISTIC SOURCE; WEAK SOLUTIONS; EXISTENCE; MODEL; STABILIZATION; SOLVABILITY;
D O I：
10.1515/anona-2023-0125
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this study, we investigate the two-dimensional chemotaxis system with nonlinear diffusion and singular sensitivity: {u(t) = del & sdot; (u(theta-1)del u) - chi del & sdot;(u/v del v), x is an element of Omega , t > 0 , v(t) = Delta v - v + u + g (x , t) , x is an element of Omega , t > 0 , (*) in a bounded domain with smooth boundary. We present the global boundedness of weak solutions to the model (*) if theta > 3/2 and (1.10)-(1.11). This result improves our recent work.
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页数：20
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