Acta mathematica scientia,Series A ›› 2026, Vol. 46 ›› Issue (2): 403-414.

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

Lei Liu(), Shaohua Wu*()   

  1. 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)

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

CLC Number: 

  • O175
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