The characterization of Riemannian metric arising from phase transition problems

DOI10.2748/tmj/1255700198zbMath1188.49015OpenAlexW1967737336WikidataQ115227053 ScholiaQ115227053MaRDI QIDQ1045955

Shu-Cheng Lee, Mao-Sheng Chang, Chien-Chang Yen

Publication date: 18 December 2009

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1255700198

zbMATH Keywords

Riemannian metric\(\Gamma\)-convergencefunctions of bounded variations

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Singular perturbations of variational problems arising from a two-phase transition model
• Minimal interface criterion for phase transitions in mixtures of Cahn- Hilliard fluids
• Minimizers and \(\Gamma\)-convergence of energy functionals derived from \(p\)-Laplacian equation
• The effect of a singular perturbation on nonconvex variational problems
• An introduction to \(\Gamma\)-convergence
• Singular perturbation and the energy of folds
• Phase transitions of elastic solid materials
• The gradient theory of phase transitions and the minimal interface criterion
• Line energies for gradient vector fields in the plane
• A compactness result in the gradient theory of phase transitions
• The gradient theory of phase transitions for systems with two potential wells
• Local minimisers and singular perturbations
• On lower semicontinuity of a defect energy obtained by a singular limit of the Ginzburg–Landau type energy for gradient fields
• Anisotropic singular perturbations—the vectorial case
• Second Order Singular Perturbation Models for Phase Transitions
• A Γ‐convergence result for the two‐gradient theory of phase transitions

This page was built for publication: The characterization of Riemannian metric arising from phase transition problems