Global Boundedness in a Logarithmic Keller–Segel System-Reference-Cited by-同舟云学术

Global Boundedness in a Logarithmic Keller–Segel System

Published:2023-06-16 Issue:12 Volume:11 Page:2743
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Liu Jinyang¹²^ORCID,Tian Boping¹^ORCID,Wang Deqi²,Tang Jiaxin²,Wu Yujin³^ORCID

Affiliation:

1. School of Mathematics, Harbin Institute of Technology, Harbin 150001, China

2. School of Statistics, Chengdu University of Information Technology, Chengdu 610103, China

3. School of Economics and Management, Zhejiang Sci-Tech University, Hangzhou 310018, China

Abstract

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 ∫Ω|v|4v2 with v>0. It is noteworthy that the inequality used in the paper may be applied to study other chemotaxis systems.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/12/2743/pdf

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