Formal asymptotic limit of a diffuse-interface tumor-growth model

DOI10.1142/S0218202515500268zbMath1317.35123OpenAlexW2095917371MaRDI QIDQ5247103

Johannes Kampmann, Thanh Nam Nguyen, Kristoffer G. Van Der Zee, Danielle Hilhorst

Publication date: 22 April 2015

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202515500268

zbMATH Keywords

singular perturbationmatched asymptotic expansionsreaction-diffusion systemgradient flowphase-field modelinterface motiontumor growth modelconvex-splitting schemestabilized Crank-Nicolson method

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Free boundary problems for PDEs (35R35)

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