Global Boundedness in a Logarithmic Keller-Segel System

被引：0
作者：
Liu, Jinyang [1 ,2 ]
Tian, Boping [1 ]
Wang, Deqi [2 ]
Tang, Jiaxin [2 ]
Wu, Yujin [3 ]
机构：
[1] Harbin Inst Technol, Sch Math, Harbin 150001, Peoples R China
[2] Chengdu Univ Informat Technol, Sch Stat, Chengdu 610103, Peoples R China
[3] Zhejiang Sci Tech Univ, Sch Econ & Management, Hangzhou 310018, Peoples R China
来源：
MATHEMATICS | 2023年 / 11卷 / 12期
关键词：
chemotaxis model; energy functional; integral inequality; global uniform boundedness; PARABOLIC CHEMOTAXIS SYSTEM; WELL-POSEDNESS; BLOW-UP; SENSITIVITY;
D O I：
10.3390/math11122743
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we propose a user-friendly integral inequality to study the coupled parabolic chemotaxis system with singular sensitivity under the Neumann boundary condition. Under a low diffusion rate, the classical solution of this system is uniformly bounded. Our proof replies on the construction of the energy functional containing ?(O)|?|(4)/?(2) with v>0. It is noteworthy that the inequality used in the paper may be applied to study other chemotaxis systems.
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页数：11
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