Linearized stability for a multi-dimensional free boundary problem modelling two-phase tumour growth

DOI10.1088/0951-7715/27/5/1045zbMath1290.35341arXiv1310.5206OpenAlexW3103082296MaRDI QIDQ5419599

Shang-bin Cui

Publication date: 10 June 2014

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.5206

zbMATH Keywords

free boundary problemlinearized stabilitytumour model

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Series solutions to PDEs (35C10) Free boundary problems for PDEs (35R35)

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A free boundary problem for a class of nonlinear nonautonomous size-structured population model ⋮ Free Boundaries Problem for a Class of Parabolic Type Chemotaxis Model ⋮ Mathematical analysis on a diffusion model describing the compatibility between two types of tumor cells ⋮ Periodic solution for a free-boundary tumor model with small diffusion-to-growth ratio

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