Global existence and asymptotic behavior of solutions for a hyperbolic-parabolic model of chemotaxis on network

被引：0
|
作者：
Li, Yafeng [1 ]
Mu, Chunlai [1 ]
Xin, Qiao [2 ]
机构：
[1] Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China
[2] Yili Normal Univ, Coll Math & Stat, Yining 835000, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2022年 / 45卷 / 11期
关键词：
asymptotic behavior; chemotaxis; hyperbolic-parabolic; network; transmission condition; SCAFFOLDS; SYSTEM;
D O I：
10.1002/mma.8204
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we discuss a hyperbolic-parabolic system on a network. The global existence of solution to this problem with suitable the transmission conditions at interior is obtained by energy estimates. Moreover, for the case of acyclic network, we prove the existence and uniqueness of stationary solution to the system and show that the stationary solution provides asymptotic profiles for a class of global solutions.
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页码：6739 / 6765
页数：27
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