A Generalized Cahn-Hilliard Equation with Logarithmic Potentials

DOI10.1007/978-3-319-19075-4_8zbMath1335.35098OpenAlexW964488159MaRDI QIDQ2803689

Alain Miranville

Publication date: 2 May 2016

Published in: Studies in Systems, Decision and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-19075-4_8

Mathematics Subject Classification ID

Attractors (35B41) Initial-boundary value problems for higher-order parabolic equations (35K35) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Quasilinear parabolic equations (35K59)

Related Items (7)

On the Bertozzi--Esedoglu--Gillette--Cahn--Hilliard Equation with Logarithmic Nonlinear Terms ⋮ The Cahn-Hilliard/Allen-Cahn equation with inertial and proliferation terms ⋮ On the logarithmic Cahn-Hilliard equation with general proliferation term ⋮ 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 ⋮ Global and exponential attractors for a Cahn-Hilliard equation with logarithmic potentials and mass source ⋮ The Cahn-Hilliard equation and some of its variants

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On a generalized Cahn-Hilliard equation with biological applications
• The Cahn-Hilliard equation with logarithmic potentials
• The Cahn-Hilliard equation with singular potentials and dynamic boundary conditions
• A generalized diffusion model for growth and dispersal in a population
• Spinodal decomposition for the Cahn-Hilliard equation in higher dimensions. I: Probability and wavelength estimate
• Infinite-dimensional dynamical systems in mechanics and physics.
• Thin liquid films on a slightly inclined heated plate
• Upper bounds on coarsening rates
• Area-preserving curve-shortening flows: From phase separation to image processing
• Nonlocal Cahn-Hilliard-Navier-Stokes systems with singular potentials
• Spinodal decomposition for the Cahn-Hilliard equation in higher dimensions: Nonlinear dynamics
• Finite-dimensional attractors for the Bertozzi-Esedoglu-Gillette-Cahn-Hilliard equation in image inpainting
• Asymptotic behaviour of a generalized Cahn–Hilliard equation with a proliferation term
• Analysis of a Two-Scale Cahn–Hilliard Model for Binary Image Inpainting
• Inpainting of Binary Images Using the Cahn–Hilliard Equation
• Cahn–Hilliard Inpainting and a Generalization for Grayvalue Images
• Robust exponential attractors for Cahn‐Hilliard type equations with singular potentials
• Free Energy of a Nonuniform System. I. Interfacial Free Energy

This page was built for publication: A Generalized Cahn-Hilliard Equation with Logarithmic Potentials