The Hyperbolic-Parabolic Chemotaxis System for Vasculogenesis: Global Dynamics and Relaxation Limit Toward a Keller–Segel Model
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Publication:6073316
DOI10.1137/22m1477295zbMath1527.35434arXiv2201.06512MaRDI QIDQ6073316
Timothée Crin-Barat, Ling-Yun Shou, Qingyou He
Publication date: 17 October 2023
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.06512
global well-posednessKeller-Segelrelaxation limitcritical regularityvascular networkoptimal time-decay ratehyperbolic-parabolic chemotaxis
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Cell biology (92C37) Rate of convergence, degree of approximation (41A25) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Cell movement (chemotaxis, etc.) (92C17) Blow-up in context of PDEs (35B44) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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