Global bounded solution to a chemotaxis-convection model of capillary-sprout growth during tumor angiogenesis

DOI10.1016/j.jmaa.2020.124665zbMath1470.35184OpenAlexW3092035732MaRDI QIDQ1995734

Yanyan Li

Publication date: 25 February 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.124665

zbMATH Keywords

classical solutionglobal boundednessmaximal Sobolev regularitygrowth sourcechemotaxis-convection modelNeumann heat semigroup

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) PDEs in connection with biology, chemistry and other natural sciences (35Q92) A priori estimates in context of PDEs (35B45) Cell movement (chemotaxis, etc.) (92C17) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (2)

Global solutions of a doubly tactic resource consumption model with logistic source ⋮ Blow-up prevention by logistic source in an \(N\)-D chemotaxis-convection model of capillary-sprout growth during tumor angiogenesis

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