Free boundary limit of a tumor growth model with nutrient

DOI10.1016/j.matpur.2021.01.007zbMath1478.35210arXiv2003.10731OpenAlexW3118775263MaRDI QIDQ2246802

Noemi David, Perthame, Benoît

Publication date: 16 November 2021

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.10731

zbMATH Keywords

tumor growthporous medium equationfree boundaryHele-Shaw problemAronson-Bénilan estimate

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Flows in porous media; filtration; seepage (76S05) Multiphase and multicomponent flows (76T99) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Degenerate parabolic equations (35K65) A priori estimates in context of PDEs (35B45) Cell biology (92C37) Free boundary problems for PDEs (35R35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Other free boundary flows; Hele-Shaw flows (76D27)

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