一类趋化系统的有限时间爆破和趋化崩塌——献给陈化教授 70 寿辰

数学物理学报 ›› 2026, Vol. 46 ›› Issue (2): 403-414.

一类趋化系统的有限时间爆破和趋化崩塌——献给陈化教授 70 寿辰

刘磊(), 吴少华^*()

武汉大学数学与统计学院武汉 430072

收稿日期:2025-10-20 修回日期:2026-01-26 出版日期:2026-04-26 发布日期:2026-04-27
通讯作者: 吴少华 E-mail:liulei95@whu.edu.cn;s.h.wu@163.com
作者简介:刘磊, Email: liulei95@whu.edu.cn
基金资助:
国家自然科学基金(11223344)

Finite-Time Blow-Up and Chemotactic Collapse to a Chemotaxis System

Lei Liu(), Shaohua Wu^*()

School of Mathematics and Statistics, Wuhan University, Wuhan 430072

Received:2025-10-20 Revised:2026-01-26 Online:2026-04-26 Published:2026-04-27
Contact: Shaohua Wu E-mail:liulei95@whu.edu.cn;s.h.wu@163.com
Supported by:
NSFC(11223344)

摘要/Abstract

摘要：

该文建立了一个基于趋化系统的自由边界模型, 并利用半群方法证明了该模型弱解的局部存在性. 通过研究移动边界的性质, 证明了该系统的有限时间爆破和趋化崩塌.

关键词: 趋化系统, 移动边界, 爆破, 趋化崩塌

Abstract:

In this paper, we formulate a free boundary model which is based on a chemotaxis system, and then prove the local existence of weak solutions for this model using a semigroup argument. By studying the properties of the moving boundary, we show the finite-time blowup and chemotactic collapse for this system.

Key words: chemotaxis system, moving boundary, blowup, chemotactic collapse

中图分类号:

O175

刘磊, 吴少华. 一类趋化系统的有限时间爆破和趋化崩塌——献给陈化教授 70 寿辰[J]. 数学物理学报, 2026, 46(2): 403-414.

Lei Liu, Shaohua Wu. Finite-Time Blow-Up and Chemotactic Collapse to a Chemotaxis System[J]. Acta mathematica scientia,Series A, 2026, 46(2): 403-414.

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