Estimates and Computations for Melting and Solidification Problems

DOI10.1051/M2AN:2001129zbMath0987.35016OpenAlexW2570014351MaRDI QIDQ2781507

James M. Greenberg

Publication date: 20 March 2002

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=M2AN_2001__35_4_607_0

zbMATH Keywords

phase-field models

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Singular perturbations in context of PDEs (35B25) A priori estimates in context of PDEs (35B45)

Related Items (1)

Phase transitions with semi-diffuse interfaces

Cites Work

• Unnamed Item
• The phase-field method in the sharp-interface limit: A comparison between model potentials
• Thermodynamically consistent models of phase-field type for the kinetics of phase transitions
• An analysis of a phase field model of a free boundary
• Phase field models and sharp interface limits: Some differences in subtle situations
• On the relation between the standard phase-field model and a ``thermodynamically consistent phase-field model
• Thermodynamically-consistent phase-field models for solidification
• Algorithms for phase field computation of the dendritic operating state at large supercoolings
• Phase Field Computations of Single-Needle Crystals, Crystal Growth, and Motion by Mean Curvature
• Stefan and Hele-Shaw type models as asymptotic limits of the phase-field equations

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