Low energy configurations of topological singularities in two dimensions: A Γ-convergence analysis of dipoles
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Publication:5107248
DOI10.1142/S0219199719500196zbMath1434.35200arXiv1711.05192MaRDI QIDQ5107248
Lucia De Luca, Marcello Ponsiglione
Publication date: 17 April 2020
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1711.05192
Methods involving semicontinuity and convergence; relaxation (49J45) Singularities of vector fields, topological aspects (58K45) Variational methods for second-order elliptic equations (35J20) Ginzburg-Landau equations (35Q56)
Related Items (5)
A classical \(\mathbb{S}^2\) spin system with discrete out-of-plane anisotropy: variational analysis at surface and vortex scalings ⋮ Screw dislocations in periodic media: variational coarse graining of the discrete elastic energy ⋮ Coarse-graining of a discrete model for edge dislocations in the regular triangular lattice ⋮ Topological singularities in periodic media: Ginzburg-Landau and core-radius approaches ⋮ The antiferromagnetic xy model on the triangular lattice: topological singularities
Cites Work
- Metastability and dynamics of discrete topological singularities in two dimensions: a \(\Gamma\)-convergence approach
- Variational analysis of the asymptotics of the \(XY\) model
- Vortices in the magnetic Ginzburg-Landau model
- Density of smooth functions between two manifolds in Sobolev spaces
- A boundary value problem related to the Ginzburg-Landau model
- On the incompressible fluid limit and the vortex motion law of the nonlinear Schrödinger equation
- Ginzburg-Landau vortices: Weak stability and Schrödinger equation dynamics
- Lower bounds for the energy of unit vector fields and applications
- Lifting in Sobolev spaces
- The Jacobian and the Ginzburg-Landau energy
- \(\Gamma\)-convergence analysis of systems of edge dislocations: the self energy regime
- A product-estimate for Ginzburg-Landau and corollaries
- Degree theory of BMO. I: Compact manifolds without boundaries
- Ginzburg-Landau functionals and renormalized energy: a revised \({\gamma}\)-convergence approach
- Vortex collisions and energy-dissipation rates in the Ginzburg-Landau heat flow
- Refined Jacobian estimates for Ginzburg-Landau functionals
- Lower Bounds for Generalized Ginzburg--Landau Functionals
- Gamma-convergence of gradient flows with applications to Ginzburg-Landau
- Elastic Energy Stored in a Crystal Induced by Screw Dislocations: From Discrete to Continuous
- Variational convergence for functionals of Ginzburg-Landau type
- Ginzburg-Landau vortices
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