Global solutions to a model with Dirichlet boundary conditions for interface motion by interface diffusion

DOI10.1063/1.5144328zbMath1446.82059OpenAlexW3015317866MaRDI QIDQ3298898

Liping Luan, Xingzhi Bian

Publication date: 16 July 2020

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5144328

zbMATH Keywords

phase field modelinterface diffusiondegenerate parabolic equation elasticity

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Linear elasticity with initial stresses (74B10) Structured surfaces and interfaces, coexistent phases (74A50) Degenerate parabolic equations (35K65) Weak solutions to PDEs (35D30) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) Interface problems; diffusion-limited aggregation in time-dependent statistical mechanics (82C24) Initial-boundary value problems for linear higher-order PDEs (35G16)

Related Items (1)

Global weak solutions to a phase-field model for motion of grain boundaries

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Translation of J. D. van der Waals' ``The thermodynamic theory of capillarity under the hypothesis of a continuous variation of density
• On the Cahn-Hilliard-Brinkman system
• Higher order nonlinear degenerate parabolic equations
• Evolving microstructure and homogenization
• Viscosity solutions to a model for solid-solid phase transitions driven by material forces
• Cahn-Hilliard equation with nonlocal singular free energies
• Evolution of phase boundaries by configurational forces
• Solutions to a model for interface motion by interface diffusion
• On Cahn—Hilliard systems with elasticity
• The Cahn–Hilliard equation with a concentration dependent mobility: motion by minus the Laplacian of the mean curvature
• On the Cahn–Hilliard Equation with Degenerate Mobility
• Finite Element Approximation of the Cahn--Hilliard Equation with Degenerate Mobility
• Analysis and Approximation of a Fractional Cahn--Hilliard Equation
• Free Energy of a Nonuniform System. I. Interfacial Free Energy
• Solutions to a Model with Nonuniformly Parabolic Terms for Phase Evolution Driven by Configurational Forces

This page was built for publication: Global solutions to a model with Dirichlet boundary conditions for interface motion by interface diffusion