Self-similar solutions to a flux-limited Keller-Segel system

被引：0
作者：
Kohatsu, Shohei [1 ]
Senba, Takasi [2 ]
机构：
[1] Tokyo Univ Sci, Tokyo 1628601, Japan
[2] Fukuoka Univ, Fukuoka 8140180, Japan
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2025年 / 84卷
基金：
日本学术振兴会;
关键词：
Chemotaxis; Flux limitation; Self-similar solutions; Stationary solutions; Lyapunov functional; CHEMOTAXIS; MODEL;
D O I：
10.1016/j.nonrwa.2024.104308
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a flux-limited Keller-Segel system, and construct radial forward self-similar solutions in the critical and super-critical cases, which imply that the system admits global solutions with some rough initial data. We also show existence of radial stationary solutions, and obtain some properties. In order to prove our theorems, we deal with second-order ordinary differential equations of corresponding mass functions.
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页数：25
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