Phase transitions with semi-diffuse interfaces

DOI10.1016/S0022-0396(02)00143-2zbMath1031.35060MaRDI QIDQ1868905

James M. Greenberg

Publication date: 28 April 2003

Published in: Journal of Differential Equations (Search for Journal in Brave)

zbMATH Keywords

asymptotic decay estimatesPhase-field modelGibbs-Thompson lawSemi-diffuse interfaces

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26)

Cites Work

• An analysis of a phase field model of a free boundary
• Phase field models and sharp interface limits: Some differences in subtle situations
• Thermodynamically-consistent phase-field models for solidification
• Algorithms for phase field computation of the dendritic operating state at large supercoolings
• Estimates and Computations for Melting and Solidification Problems
• 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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