Characterization of minimizers of Aviles-Giga functionals in special domains

DOI10.1007/s00205-021-01704-wOpenAlexW3153587463MaRDI QIDQ2065726

Elio Marconi

Publication date: 12 January 2022

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.07125

Mathematics Subject Classification ID

Existence theories in calculus of variations and optimal control (49Jxx) Elliptic equations and elliptic systems (35Jxx) Qualitative properties of solutions to partial differential equations (35Bxx)

Related Items (8)

Hyperbolic balance laws: modeling, analysis, and numerics. Abstracts from the workshop held February 28 -- March 6, 2021 (hybrid meeting) ⋮ Nonlinear approximation of 3D smectic liquid crystals: sharp lower bound and compactness ⋮ Variational analysis of the \(J_1-J_2-J_3\) model: a non-linear lattice version of the Aviles-Giga functional ⋮ Factorization for entropy production of the Eikonal equation and regularity ⋮ A smectic liquid crystal model in the periodic setting ⋮ COMPACTNESS AND STRUCTURE OF ZERO-STATES FOR UNORIENTED AVILES–GIGA FUNCTIONALS ⋮ Calculus of variations. Abstracts from the workshop held August 14--20, 2022 ⋮ On a generalized Aviles-Giga functional: compactness, zero-energy states, regularity estimates and energy bounds

Cites Work

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• Entropy method for line-energies
• Sharp upper bounds for a variational problem with singular perturbation
• The morphology and folding patterns of buckling-driven thin-film blisters
• Structure of entropy solutions to the eikonal equation
• Singular perturbation and the energy of folds
• Regularity of the Eikonal equation with two vanishing entropies
• Singularities of divergence-free vector fields with values into \(S^1\) or \(S^2\): applications to micromagnetics
• Line energies for gradient vector fields in the plane
• Rectifiability of entropy defect measures in a micromagnetics model
• Limiting domain wall energy for a problem related to micromagnetics
• A compactness result in the gradient theory of phase transitions
• A simple proof of the characterization of functions of low Aviles Giga energy on a ballviaregularity
• On lower semicontinuity of a defect energy obtained by a singular limit of the Ginzburg–Landau type energy for gradient fields
• A Kinetic Formulation of Multidimensional Scalar Conservation Laws and Related Equations
• A viscosity property of minimizing micromagnetic configurations
• The distance function and defect energy
• Compactness in Ginzburg-Landau energy by kinetic averaging
• Compactness, Kinetic Formulation, and Entropies for a Problem Related to Micromagnetics
• Optimal Besov Differentiability for Entropy Solutions of the Eikonal Equation
• Continuity equations and ODE flows with non-smooth velocity
• A quantitative characterisation of functions with low Aviles Giga energy on convex domains
• Strong traces for solutions of multidimensional scalar conservation laws

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