The Relaxation Limit of a Quasi-Linear Hyperbolic-Parabolic Chemotaxis System Modeling Vasculogenesis
Year: 2024
Author: Qingqing Liu, Hongyun Peng, Zhi-An Wang
Communications in Mathematical Analysis and Applications, Vol. 3 (2024), Iss. 1 : pp. 1–18
Abstract
This paper is concerned with the relaxation limit of a three-dimensional quasi-linear hyperbolic-parabolic chemotaxis system modeling vasculogenesis when the initial data are prescribed around a constant ground state. When the relaxation time tends to zero (i.e. the damping is strong), we show that the strong-weak limit of the cell density and chemoattractant concentration satisfies a parabolic-elliptic Keller-Segel type chemotaxis system in the sense of distribution.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cmaa.2024-0001
Communications in Mathematical Analysis and Applications, Vol. 3 (2024), Iss. 1 : pp. 1–18
Published online: 2024-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: Hyperbolic-parabolic model vasculogenesis diffusion relaxation limit.