A microscopic derivation of macroscopic sharp interface problems involving phase transitions

DOI10.1007/BF01025855zbMath0709.76009MaRDI QIDQ922070

Gunduz Caginalp

Publication date: 1990

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

zbMATH Keywords

Fourier transformphase transitionsStefan problemasymptotic analysismicroscopic interactionsMacroscopic free boundary problems

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Statistical mechanics of plasmas (82D10)

Related Items (1)

Surface tension, higher order phase field equations, dimensional analysis and Clairaut's equation

Cites Work

• Unnamed Item
• An analysis of a phase field model of a free boundary
• Reaction-diffusion equations for interacting particle systems
• The role of microscopic anisotropy in the macroscopic behavior of a phase boundary
• On the multivalence of a class of meromorphic functions
• Stefan and Hele-Shaw type models as asymptotic limits of the phase-field equations

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