Global existence and asymptotic behaviour of solutions for a hyperbolic-parabolic model of chemotaxis on network
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AI-generated summary
This paper establishes global existence of solutions for a hyperbolic-parabolic chemotaxis model on networks using energy estimates and proves asymptotic behavior towards stationary solutions for acyclic networks.
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Abstract
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
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- europepmc
- last seen: 2026-05-19T01:45:01.086888+00:00
- unpaywall
- last seen: 2026-07-19T06:49:21.617583+00:00