Phase field models and sharp interface limits: Some differences in subtle situations

DOI10.1216/rmjm/1181072955zbMath0753.35125OpenAlexW2017592414MaRDI QIDQ1176403

Gunduz Caginalp

Publication date: 25 June 1992

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072955

zbMATH Keywords

phase field modelphase transitionStefan type problems

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Free boundary problems for PDEs (35R35)

Related Items

Existence for a Cahn-Hilliard model for lithium-ion batteries with exponential growth boundary conditions, Efficient computation of a sharp interface by spreading via phase field methods, Comparison study of the conservative Allen-Cahn and the Cahn-Hilliard equations, Perturbative solution of a propagating interface in the phase field model, Front motion for phase transitions in systems with memory, Estimates and Computations for Melting and Solidification Problems, Metastable solutions for the thin-interface limit of a phase-field model, Phase transitions with semi-diffuse interfaces

Cites Work

• On the singular limit in a phase field model of phase transitions
• An analysis of a phase field model of a free boundary
• The role of microscopic anisotropy in the macroscopic behavior of a phase boundary
• The effect of a singular perturbation on nonconvex variational problems
• Layer Oscillations in Reaction-Diffusion Systems
• Properties of some ordinary differential equations related to free boundary problems
• Elliptic Problems Involving Phase Boundaries Satisfying a Curvature Condition
• A Numerical Analysis of an Anisotropic Phase Field Model
• Local minimisers and singular perturbations
• Duality in scalar field theory on noncommutative phase spaces
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