A Cahn–Hilliard equation with a proliferation term for biological and chemical applications

DOI10.3233/ASY-151306zbMath1444.35093MaRDI QIDQ3195640

Hussein Fakih

Publication date: 20 October 2015

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

zbMATH Keywords

Neumann boundary conditionssimulationsconvergence to a steady state

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for higher-order parabolic equations (35K35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58)

Related Items (17)

Global attractor and exponential attractor for a parabolic system of Cahn-Hilliard with a proliferation term ⋮ Existence of solution to a Cahn–Hilliard equation ⋮ Long-time behavior of a nonlocal Cahn-Hilliard equation with reaction ⋮ On the Cahn-Hilliard equation with mass source for biological applications ⋮ The Cahn-Hilliard/Allen-Cahn equation with inertial and proliferation terms ⋮ The Cahn–Hilliard–Oono equation with singular potential ⋮ Optimal control of an Allen-Cahn model for tumor growth through supply of cytotoxic drugs ⋮ On the viscous Cahn–Hilliard–Oono system with chemotaxis and singular potential ⋮ Existence of solutions to a Cahn-Hilliard type equation with a logarithmic nonlinear term ⋮ A Complex Version of the Cahn--Hilliard Equation for Grayscale Image Inpainting ⋮ A convergent convex splitting scheme for a nonlocal Cahn–Hilliard–Oono type equation with a transport term ⋮ Global well-posedness of a Navier-Stokes-Cahn-Hilliard system with chemotaxis and singular potential in 2D ⋮ The Cahn-Hilliard equation with a nonlinear source term ⋮ Global and exponential attractors for a Cahn-Hilliard equation with logarithmic potentials and mass source ⋮ Global weak solutions to a Navier–Stokes–Cahn–Hilliard system with chemotaxis and singular potential ⋮ The Cahn-Hilliard equation and some of its variants ⋮ Global attractor for a hyperbolic Cahn–Hilliard equation with a proliferation term

Cites Work

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• On a generalized Cahn-Hilliard equation with biological applications
• The Cahn-Hilliard equation with logarithmic potentials
• A numerical analysis of the Cahn-Hilliard equation with dynamic boundary conditions
• A second order splitting method for the Cahn-Hilliard equation
• A generalized diffusion model for growth and dispersal in a population
• Thin liquid films on a slightly inclined heated plate
• Area-preserving curve-shortening flows: From phase separation to image processing
• Asymptotic behaviour of a generalized Cahn–Hilliard equation with a proliferation term
• Some global dynamical properties of a class of pattern formation equations
• On the Bertozzi--Esedoglu--Gillette--Cahn--Hilliard Equation with Logarithmic Nonlinear Terms

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