TY - JOUR
T1 - The Relaxation Limit of a Quasi-Linear Hyperbolic-Parabolic Chemotaxis System Modeling Vasculogenesis
AU - Liu , Qingqing
AU - Peng , Hongyun
AU - Wang , Zhi-An
JO - Communications in Mathematical Analysis and Applications
VL - 1
SP - 1
EP - 18
PY - 2024
DA - 2024/03
SN - 3
DO - http://doi.org/10.4208/cmaa.2024-0001
UR - https://global-sci.org/intro/article_detail/cmaa/22938.html
KW - Hyperbolic-parabolic model, vasculogenesis, diffusion, relaxation limit.
AB - <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>