Phase transitions with a minimal number of jumps in the singular limits of higher order theories

DOI10.1016/j.anihpc.2009.11.002zbMath1192.82034OpenAlexW2038591646MaRDI QIDQ963048

P. I. Plotnikov, John F. Toland

Publication date: 8 April 2010

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.anihpc.2009.11.002

zbMATH Keywords

phase transitionssingular limitsGahn-Hilliardgamma limitsminimal jump principleregularized minimizersrelaxed minimizers

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Phase transitions (general) in equilibrium statistical mechanics (82B26) Singular perturbations for ordinary differential equations (34E15) Variational principles of physics (49S05)

Related Items (1)

Strain-gradient theory of hydroelastic travelling waves and Young measures of their singular limits

Cites Work

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• Qualitative behavior of local minimizers of singular perturbed variational problems
• On the singular limit in a phase field model of phase transitions
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• Equilibrium of bars
• Singular perturbations as a selection criterion for periodic minimizing sequences
• Strain-gradient theory of hydroelastic travelling waves and Young measures of their singular limits
• A variational approach for a class of singular perturbation problems and applications
• Surface energy and microstructure in coherent phase transitions
• Variational Methods

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