Acta mathematica scientia,Series B

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GLOBALLY BOUNDED IN-TIME SOLUTIONS TO A PARABOLIC-ELLIPTIC SYSTEM#br# MODELLING CHEMOTAXIS

Zhong Xinhua; Jiang Song   

  1. Department of Basic Courses, Beijing Information Technology Institute, Beijing 100101, China
    LCP, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
  • Received:2005-03-02 Revised:1900-01-01 Online:2007-04-20 Published:2007-04-20
  • Contact: Zhong Xinhua

Abstract:

In this article, the globally bounded in-time pointwise estimate of solutions to the simplified Keller--Segel system modelling chemotaxis are derived. Moreover, a local existence theorem is obtained.

Key words: Keller-Segel system, chemotaxis, globally bounded

CLC Number: 

  • 35B40
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