The Local and Global Existence of the Solutions of Hyperbolic-Parabolic System Modeling Biological Phenomena

2008 ◽  
Vol 28 (1) ◽  
pp. 101-116 ◽  
Author(s):  
Wu Shaohua ◽  
Chen Hua ◽  
Li Weixi
Keyword(s):  
Global Existence ◽  
Parabolic System ◽  
System Modeling ◽  
Biological Phenomena

scholarly journals Global existence and asymptotic behaviour of solutions for a hyperbolic-parabolic model of chemotaxis on network

2021 ◽  
Author(s):  
Yafeng Li ◽  
Chunlai Mu ◽  
Xin Qiao
Keyword(s):  
Global Existence ◽  
Asymptotic Behaviour ◽  
Parabolic System ◽  
Existence And Uniqueness ◽  
System Modeling ◽  
Global Solutions ◽  
Energy Estimates ◽  
Parabolic Model ◽  
Biological Phenomena ◽  
Acyclic Network

In this paper, we discuss a hyperbolic-parabolic system modeling biological phenomena evolving on a network. The global existence of the is obtained by using energy estimates with suitable the transmission conditions at interior. Moreover, for the case of acyclic network, the existence and uniqueness of stationary solution to the system is proposed and it is proved that these ones are asymptotic profiles for a class of global solutions

scholarly journals On a nonlinear parabolic system-modeling chemical reactions in rivers

2005 ◽  
Vol 4 (4) ◽  
pp. 889-899 ◽  
Author(s):  
Wenxiong Chen ◽  
◽  
Congming Li ◽  
Eric S. Wright ◽  
◽  
...  
Keyword(s):  
Chemical Reactions ◽  
Parabolic System ◽  
System Modeling ◽  
Nonlinear Parabolic System ◽  
Nonlinear Parabolic
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