Articles

THE LOCAL AND GLOBAL EXISTENCE OF THE SOLUTIONS OF HYPERBOLIC-PARABOLIC SYSTEM MODELING BIOLOGICAL PHENOMENA

  • Wu Shaohua ,
  • Chen Hua ,
  • Li Weixi
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  • School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China

Received date: 2005-12-07

  Revised date: 2006-07-28

  Online published: 2008-01-20

Abstract

The authors prove the local existence and uniqueness of weak solution of a
hyperbolic-parabolic system and establish the global existence of the weak solution for this system for the spatial dimension n=1.

Cite this article

Wu Shaohua , Chen Hua , Li Weixi . THE LOCAL AND GLOBAL EXISTENCE OF THE SOLUTIONS OF HYPERBOLIC-PARABOLIC SYSTEM MODELING BIOLOGICAL PHENOMENA[J]. Acta mathematica scientia, Series B, 2008 , 28(1) : 101 -116 . DOI: 10.1016/S0252-9602(08)60011-9

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