Articles

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

  • Zhong Xinhua ,
  • Jiang Song
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  • Department of Basic Courses, Beijing Information Technology Institute, Beijing 100101, China
    LCP, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China

Received date: 2005-03-02

  Revised date: 1900-01-01

  Online published: 2007-04-20

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.

Cite this article

Zhong Xinhua , Jiang Song . GLOBALLY BOUNDED IN-TIME SOLUTIONS TO A PARABOLIC-ELLIPTIC SYSTEM#br# MODELLING CHEMOTAXIS[J]. Acta mathematica scientia, Series B, 2007 , 27(2) : 421 -429 . DOI: 10.1016/S0252-9602(07)60042-3

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