On a Cahn-Hilliard/Allen-Cahn system coupled with a type III heat equation and singular potentials

DOI10.1016/j.na.2020.111804zbMath1444.35026OpenAlexW3008803463MaRDI QIDQ1988422

Ahmad Makki, Wafa Saoud, Alain Miranville

Publication date: 23 April 2020

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2020.111804

zbMATH Keywords

dissipativitywell-posednesslogarithmic nonlinear termsparabolic-hyperbolic systemtype III heat conductionCahn-Hilliard/Allen-Cahn equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) A priori estimates in context of PDEs (35B45) Initial-boundary value problems for systems of nonlinear higher-order PDEs (35G61)

Related Items (3)

Optimal distributed control of a Allen-Cahn/Cahn-Hilliard system with temperature ⋮ Optimal distributed control for a coupled phase-field system ⋮ A splitting method for the Allen-Cahn/Cahn-Hilliard system coupled with heat equation based on Maxwell-Cattaneo law

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Cahn-Hilliard equation with logarithmic potentials
• The Cahn-Hilliard equation with singular potentials and dynamic boundary conditions
• A generalization of the Caginalp phase-field system based on the Cattaneo law
• Finite-dimensional exponential attractor for a model for order-disorder and phase separation
• A singularly perturbed phase field model with a logarithmic nonlinearity: Upper-semicontinuity of the attractor
• Evolution equations for phase separation and ordering in binary alloys
• Triple-junction motion for an Allen-Cahn/Cahn-Hilliard system
• Existence for an Allen-Cahn/Cahn-Hilliard system with degenerate mobility
• Asymptotic behavior of a Cahn-Hilliard/Allen-Cahn system with temperature
• On the Cahn-Hilliard/Allen-Cahn equations with singular potentials
• The Cahn-Hilliard equation and some of its variants
• Convergence to equilibrium for a parabolic-hyperbolic phase field model with Cattaneo heat flux law
• Geometric motion for a degenerate Allen-Cahn/Cahn-Hilliard system: the partial wetting case
• Stability in thermoelasticity of type III
• Growth and uniqueness in thermoelasticity
• A note on discontinuity waves in type III thermoelasticity
• NKS Method for the Implicit Solution of a Coupled Allen-Cahn/Cahn-Hilliard System
• A re-examination of the basic postulates of thermomechanics
• On the impossibility of localization in linear thermoelasticity
• Convergence to equilibrium for a fully hyperbolic phase‐field model with Cattaneo heat flux law
• Robust exponential attractors for Cahn‐Hilliard type equations with singular potentials
• Asymptotic behavior of a model for order-disorder and phase separation
• The Cahn–Hilliard–Oono equation with singular potential
• On the Cahn-Hilliard equation with a logarithmic free energy
• The Cahn–Hilliard Equation: Recent Advances and Applications
• Energy bounds for some non-standard problems in thermoelasticity
• Damping of end effects in a thermoelastic theory

This page was built for publication: On a Cahn-Hilliard/Allen-Cahn system coupled with a type III heat equation and singular potentials