On the hyperbolic relaxation of the Cahn–Hilliard equation with a mass source

DOI10.3233/asy-231844zbMath1528.35211OpenAlexW4380887405MaRDI QIDQ6070618

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Publication date: 23 November 2023

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3233/asy-231844

zbMATH Keywords

tumor growthglobal attractorCahn-Hilliard equationsimulationswell posednessexponential attractormass sourcerelaxation term

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Attractors (35B41) Initial-boundary value problems for second-order hyperbolic equations (35L20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Cell biology (92C37) Computational methods for problems pertaining to biology (92-08) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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