The Gibbs–Thomson relation for non homogeneous anisotropic phase transitions

DOI10.1515/ACV.2010.014zbMath1201.49047OpenAlexW2012132461MaRDI QIDQ3579836

Yuko Nagase, Marco Cicalese, Giovanni Pisante

Publication date: 11 August 2010

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/acv.2010.014

zbMATH Keywords

Finsler metricsanisotropic phase transitionGibbs-Thomson relation for surface tension

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Variational problems in a geometric measure-theoretic setting (49Q20) Phase transitions (general) in equilibrium statistical mechanics (82B26) Interface problems; diffusion-limited aggregation arising in equilibrium statistical mechanics (82B24)

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Sharp interface limit of a multi-phase transitions model under nonisothermal conditions

Cites Work

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• Singular perturbations of variational problems arising from a two-phase transition model
• On a modified conjecture of De Giorgi
• Existence and regularity almost everywhere of solutions to elliptic variational problems among surfaces of varying topological type and singularity structure