@Article{CMAA-3-1,
author = {Qingqing, Liu and Peng, Hongyun and Zhi-An, Wang},
title = {The Relaxation Limit of a Quasi-Linear Hyperbolic-Parabolic Chemotaxis System Modeling Vasculogenesis},
journal = {Communications in Mathematical Analysis and Applications},
year = {2024},
volume = {3},
number = {1},
pages = {1--18},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {2790-1939},
doi = {https://doi.org/10.4208/cmaa.2024-0001},
url = {https://global-sci.com/article/90961/the-relaxation-limit-of-a-quasi-linear-hyperbolic-parabolic-chemotaxis-system-modeling-vasculogenesis}
}