On the Cahn-Hilliard equation with mass source for biological applications

DOI10.3934/cpaa.2020277zbMath1460.35351OpenAlexW3112135488MaRDI QIDQ2658855

Ragheb Mghames, Hussein Fakih, Noura Nasreddine

Publication date: 24 March 2021

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2020277

zbMATH Keywords

stabilityconvergencewell-posednessCahn-Hilliard equationnumerical simulationsimage inpaintingcancerous tumor growth

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Nonlinear elliptic equations (35J60) 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) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Cell biology (92C37) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (4)

On a Phase Field Model for RNA-Protein Dynamics ⋮ On the hyperbolic relaxation of the Cahn–Hilliard equation with a mass source ⋮ Optimal control of an Allen-Cahn model for tumor growth through supply of cytotoxic drugs ⋮ The Cahn-Hilliard equation with a nonlinear source term

Uses Software

• FreeFem++

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