期刊
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
卷 45, 期 11, 页码 6739-6765出版社
WILEY
DOI: 10.1002/mma.8204
关键词
asymptotic behavior; chemotaxis; hyperbolic-parabolic; network; transmission condition
资金
- NSFC [11771062, 11971082]
- Natural Science Foundation of Chongqing [cstc2021jcyj-msxmX1051]
- Fundamental Research Funds for the Central Universities [2020CDJQYZ001, 2019CDJCYJ001, 2021CDJQY-009]
- Chongqing Key Laboratory of Analytic Mathematics and Applications
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.
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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