Higher-order phase transitions with line-tension effect

DOI10.1051/cocv/2010018zbMath1228.49048arXiv0911.1726OpenAlexW2963377916MaRDI QIDQ3170565

Bernardo Galvão-Sousa

Publication date: 27 September 2011

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.1726

zbMATH Keywords

phase transitionsfunctions of bounded variations\(\Gamma\) limitfunctions of bounded variations on manifolds

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Variational methods applied to problems in fluid mechanics (76M30) Methods involving semicontinuity and convergence; relaxation (49J45) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50)

Cites Work

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• Gradient theory of phase transitions with boundary contact energy
• Phase transition with the line-tension effect
• Domain branching in uniaxial ferromagnets: A scaling law for the minimum energy
• An introduction to \(\Gamma\)-convergence
• Energy minimization and flux domain structure in the intermediate state of a type-I superconductor
• The gradient theory of phase transitions and the minimal interface criterion
• Ulteriori proprieta di alcune classi di funzioni in piu variabili
• Weakly Differentiable Functions
• Second Order Singular Perturbation Models for Phase Transitions
• A Γ‐convergence result for the two‐gradient theory of phase transitions
• Ground state energy scaling laws during the onset and destruction of the intermediate state in a type I superconductor
• Heat semigroup and functions of bounded variation on Riemannian manifolds