凯勒-西格尔系统的爆炸分析

IF 1.7 2区数学 Q1 MATHEMATICS

Journal of Functional Analysis Pub Date : 2025-03-31 DOI:10.1016/j.jfa.2025.110968

Hua Chen, Jian-Meng Li , Kelei Wang

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引用次数: 0

摘要

本文建立了抛物-椭圆型Keller-Segel方程组的爆破理论，该方程组可以看作是Liouville方程的抛物型对应。将该理论应用于第一次奇点、古解和全解的研究，给出了第一个问题的爆破极限和另外两个问题的大尺度结构的描述。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Blow up analysis for Keller-Segel system

In this paper we develop a blow up theory for the parabolic-elliptic Keller-Segel system, which can be viewed as a parabolic counterpart to the Liouville equation. This theory is applied to the study of first time singularities, ancient solutions and entire solutions, leading to a description of the blow-up limit in the first problem, and the large scale structure in the other two problems.

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来源期刊

Journal of Functional Analysis 数学-数学

CiteScore

3.20

自引率

5.90%

发文量

271

审稿时长

7.5 months

期刊介绍： The Journal of Functional Analysis presents original research papers in all scientific disciplines in which modern functional analysis plays a basic role. Articles by scientists in a variety of interdisciplinary areas are published. Research Areas Include: • Significant applications of functional analysis, including those to other areas of mathematics • New developments in functional analysis • Contributions to important problems in and challenges to functional analysis