Global existence and asymptotic behavior of solutions for a hyperbolic-parabolic model of chemotaxis on network
MATHEMATICAL METHODS IN THE APPLIED SCIENCES(2022)
Abstract
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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Key words
asymptotic behavior,chemotaxis,hyperbolic-parabolic,network,transmission condition
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