Global solvability to a cancer invasion model with remodeling of ECM and porous medium diffusion

DOI10.4310/CMS.2022.V20.N6.A1zbMATH Open1501.35127OpenAlexW4295708832WikidataQ118119881 ScholiaQ118119881MaRDI QIDQ2098101

Yanyan Li

Publication date: 17 November 2022

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/cms.2022.v20.n6.a1

zbMATH Keywords

slow diffusion`very' weak solutionchemotaxis-haptotaxis modelextracellular matrix (ECM): PDE-ODE systemnonlinear no-flux boundary conditionremodeling mechanism

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Weak solutions to PDEs (35D30) Cell movement (chemotaxis, etc.) (92C17) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)

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Global existence for a haptotaxis model of cancer invasion with tissue remodeling ⋮ Global solvability and boundedness to a attraction-repulsion model with logistic source

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