Acta mathematica scientia,Series B

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

Wu Shaohua; Chen Hua; Li Weixi   

  1. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
  • Received:2005-12-07 Revised:2006-07-28 Online:2008-01-20 Published:2008-01-20
  • Contact: Wu Shaohua

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.

Key words: Hyperbolic-parabolic system, chemosensitive movement, external signal, global existence

CLC Number: 

  • 35A07
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