From gradient theory of phase transition to a generalized minimal interface problem with a contact energy

DOI10.3934/dcds.2016.36.2729zbMath1334.49044OpenAlexW2527031065MaRDI QIDQ256236

Tien-Tsan Shieh

Publication date: 9 March 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2016.36.2729

zbMATH Keywords

Cahn-Hilliard equationBose-Einstein condensationlocal minimizers\(\Gamma\)-convergencesharp-interface limitcontact energygeneralized minimal interface problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Methods involving semicontinuity and convergence; relaxation (49J45) PDEs in connection with quantum mechanics (35Q40) Variational principles of physics (49S05) Singular elliptic equations (35J75)

Related Items (1)

Ground-state patterns and phase diagram of spin-1 Bose-Einstein condensates in uniform magnetic field

Cites Work

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• A minimal interface problem arising from a two component Bose-Einstein condensate via \(\Gamma \)-convergence
• Gradient theory of phase transitions with boundary contact energy
• The effect of a singular perturbation on nonconvex variational problems
• An introduction to \(\Gamma\)-convergence
• The gradient theory of phase transitions and the minimal interface criterion
• Vortices in Bose-Einstein condensates
• Phase transition for potentials of high-dimensional wells
• Minimizers and gradient flows for singularly perturbed bi-stable potentials with a Dirichlet condition
• Structure of a quantized vortex in boson systems
• The gradient theory of phase transitions for systems with two potential wells
• Local minimisers and singular perturbations
• Nonconvex variational problems with anisotropic perturbations
• Singular perturbations of variational problems of vector valued functions
• The Gradient Theory of the Phase Transitions in Cahn–Hilliard Fluids with Dirichlet Boundary Conditions
• Sharp interface limit for two components Bose−Einstein condensates
• On the first and second variations of a nonlocal isoperimetric problem
• Nonconvex Variational Problems With General Singular Perturbations

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