Singular perturbations of variational problems of vector valued functions

DOI10.1016/0362-546X(94)90139-2zbMath0820.49006OpenAlexW1974526760MaRDI QIDQ4322187

Kazuhiro Ishige

Publication date: 9 February 1995

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(94)90139-2

zbMATH Keywords

singular perturbationvariational problemgamma convergenceCahn-Hilliard fluids

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (2)

Sharp interface limit of a multi-phase transitions model under nonisothermal conditions ⋮ From gradient theory of phase transition to a generalized minimal interface problem with a contact energy

Cites Work

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• Singular perturbations of variational problems arising from a two-phase transition model
• Minimal interface criterion for phase transitions in mixtures of Cahn- Hilliard fluids
• The effect of a singular perturbation on nonconvex variational problems
• The gradient theory of phase transitions and the minimal interface criterion
• Change of variables for absolutely continuous functions
• On the structure of equilibrium phase transitions within the gradient theory of fluids
• The gradient theory of phase transitions for systems with two potential wells
• Local minimisers and singular perturbations
• Nonconvex variational problems with anisotropic perturbations
• A General Chain Rule for Distributional Derivatives
• Nonconvex Variational Problems With General Singular Perturbations

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