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

doi:10.1016/S0252-9602(08)60011-9

数学物理学报(英文版)

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

吴少华; 陈化; 李维喜

武汉大学数学与统计学院, 武汉 430072

收稿日期:2005-12-07 修回日期:2006-07-28 出版日期:2008-01-20 发布日期:2008-01-20
通讯作者: 吴少华
基金资助:
Research supported by the NSFC

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

Wu Shaohua; Chen Hua; Li Weixi

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

摘要/Abstract

摘要：

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.

关键词: Hyperbolic-parabolic system, chemosensitive movement, external signal, global existence

Abstract:

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

中图分类号:

35A07

吴少华; 陈化; 李维喜. THE LOCAL AND GLOBAL EXISTENCE OF THE SOLUTIONS OF HYPERBOLIC-PARABOLIC SYSTEM MODELING BIOLOGICAL PHENOMENA[J]. 数学物理学报(英文版), 2008, 28(1): 101-116.

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.

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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

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