Existence of solutions to a Cahn-Hilliard type equation with a logarithmic nonlinear term

DOI10.1007/S00009-018-1284-8zbMath1409.35110OpenAlexW2908015418WikidataQ128614372 ScholiaQ128614372MaRDI QIDQ670509

Alain Miranville

Publication date: 18 March 2019

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-018-1284-8

zbMATH Keywords

existenceCahn-Hilliard equationblow upproliferation termlogarithmic nonlinear term

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) A priori estimates in context of PDEs (35B45)

Related Items (9)

Existence of solution to a Cahn–Hilliard equation ⋮ Stability and error estimates for non-linear Cahn-Hilliard-type equations on evolving surfaces ⋮ On the Cahn-Hilliard equation with mass source for biological applications ⋮ Cahn–Hilliard equation with regularization term ⋮ On a coupled Cahn-Hilliard/Cahn-Hilliard model for the proliferative-to-invasive transition of hypoxic glioma cells ⋮ The Cahn-Hilliard equation with a nonlinear source term ⋮ Global and exponential attractors for a Cahn-Hilliard equation with logarithmic potentials and mass source ⋮ A coupled Cahn–Hilliard model for the proliferative-to-invasive transition of hypoxic glioma cells ⋮ A Second Order Accurate in Time, Energy Stable Finite Element Scheme for the Flory-Huggins-Cahn-Hilliard Equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A Cahn-Hilliard system with a fidelity term for color image inpainting
• A mixed discontinuous Galerkin, convex splitting scheme for a modified Cahn-Hilliard equation and an efficient nonlinear multigrid solver
• 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
• Doubly nonlinear Cahn-Hilliard-Gurtin equations
• A generalized diffusion model for growth and dispersal in a population
• Infinite-dimensional dynamical systems in mechanics and physics.
• On the derivation of a density functional theory for microphase separation of diblock copolymers
• Thin liquid films on a slightly inclined heated plate
• Area-preserving curve-shortening flows: From phase separation to image processing
• Nonlocal Cahn-Hilliard-Navier-Stokes systems with singular potentials
• Finite-dimensional attractors for the Bertozzi-Esedoglu-Gillette-Cahn-Hilliard equation in image inpainting
• The Cahn-Hilliard equation and some of its variants
• Convergence to equilibrium for the Cahn-Hilliard equation with a logarithmic free energy
• A Generalized Cahn-Hilliard Equation with Logarithmic Potentials
• Asymptotic behaviour of a generalized Cahn–Hilliard equation with a proliferation term
• Adaptive, second-order in time, primitive-variable discontinuous Galerkin schemes for a Cahn–Hilliard equation with a mass source
• Asymptotic behavior of a generalized Cahn–Hilliard equation with a mass source
• On the Bertozzi--Esedoglu--Gillette--Cahn--Hilliard Equation with Logarithmic Nonlinear Terms
• A Cahn–Hilliard equation with a proliferation term for biological and chemical applications
• Analysis of a Two-Scale Cahn–Hilliard Model for Binary Image Inpainting
• Inpainting of Binary Images Using the Cahn–Hilliard Equation
• Robust exponential attractors for Cahn‐Hilliard type equations with singular potentials
• The Cahn–Hilliard–Oono equation with singular potential
• On the Cahn-Hilliard equation with a logarithmic free energy
• Free Energy of a Nonuniform System. I. Interfacial Free Energy
• On the longtime behavior of a 2D hydrodynamic model for chemically reacting binary fluid mixtures
• A Complex Version of the Cahn--Hilliard Equation for Grayscale Image Inpainting

This page was built for publication: Existence of solutions to a Cahn-Hilliard type equation with a logarithmic nonlinear term