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

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

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.

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Veröffentlicht in:Acta Mathematica Scientia 2008, Vol.28 (1), p.101-116
1. Verfasser: 吴少华 陈化 李维喜
Format: Artikel
Sprache:eng
Schlagworte:
chemosensitive movement
external signal
global existence
Hyperbolic-parabolic system
双曲线
抛物线
方程式
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Zusammenfassung: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.
ISSN:0252-9602
1572-9087
1003-3998
DOI:10.1016/S0252-9602(08)60011-9