Lower Bounds for Generalized Ginzburg--Landau Functionals
From MaRDI portal
Publication:4255793
DOI10.1137/S0036141097300581zbMath0928.35045OpenAlexW2002105696MaRDI QIDQ4255793
Publication date: 27 June 1999
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/s0036141097300581
Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for elliptic systems (35J50) Partial differential equations of mathematical physics and other areas of application (35Q99)
Related Items (only showing first 100 items - show all)
On minimizers of the 2D Ginzburg-Landau energy with tangential anchoring ⋮ 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 ⋮ Convergence of the self‐dual U(1)‐Yang–Mills–Higgs energies to the (n−2)$(n-2)$‐area functional ⋮ Two-dimensional ferronematics, canonical harmonic maps and minimal connections ⋮ ON THE ENERGY OF TYPE-II SUPERCONDUCTORS IN THE MIXED PHASE ⋮ Variational analysis of the asymptotics of the \(XY\) model ⋮ Interaction energy between vortices of vector fields on Riemannian surfaces ⋮ LORENTZ SPACE ESTIMATES FOR THE COULOMBIAN RENORMALIZED ENERGY ⋮ Gamma convergence of Maxwell-Chern-Simons-Higgs energy ⋮ Gradient Theory for Geometrically Nonlinear Plasticity via the Homogenization of Dislocations ⋮ Entire vortex solutions of negative degree for the anisotropic Ginzburg-Landau system ⋮ Renormalised energies and renormalisable singular harmonic maps into a compact manifold on planar domains ⋮ Double well potential function and its optimization in the \(N\)-dimensional real space. I ⋮ Inhomogeneous vortex patterns in rotating Bose-Einstein condensates ⋮ Global minimizer for the Ginzburg-Landau functional of an inhomogeneous superconductor ⋮ Pinning phenomena near the lower critical field for superconductor ⋮ Renormalized energy between vortices in some Ginzburg-Landau models on 2-dimensional Riemannian manifolds ⋮ Dynamics of Ginzburg-Landau and Gross-Pitaevskii vortices on manifolds ⋮ On approximation of Ginzburg-Landau minimizers by \(\mathbb{S}^1\)-valued maps in domains with vanishingly small holes ⋮ Nearly parallel vortex filaments in the 3D Ginzburg-Landau equations ⋮ Vortex Motion for the Landau-Lifshitz-Gilbert Equation with Applied Magnetic Field ⋮ Thin film liquid crystals with oblique anchoring and boojums ⋮ Dynamics of Ginzburg-Landau vortices for vector fields on surfaces ⋮ The Yang-Mills-Higgs functional on complex line bundles: \(\Gamma\)-convergence and the London equation ⋮ Line-tension limits for line singularities and application to the mixed-growth case ⋮ Asymptotic behavior of minimizing \(p\)-harmonic maps when \(p \nearrow 2\) in dimension 2 ⋮ Low energy configurations of topological singularities in two dimensions: A Γ-convergence analysis of dipoles ⋮ Plasticity as the \(\Gamma\)-limit of a two-dimensional dislocation energy: the critical regime without the assumption of well-separateness ⋮ Vortex pinning with bounded fields for the Ginzburg-Landau equation. ⋮ Solitons and solitonic vortices in a strip ⋮ Non-existence of vortices in the small density region of a condensate ⋮ A product estimate for Ginzburg-Landau and application to the gradient-flow ⋮ Equidistribution of jellium energy for Coulomb and Riesz interactions ⋮ Limiting vorticities for the Ginzburg-Landau equations. ⋮ On an open problem for Jacobians raised by Bourgain, Brezis and mironescu. ⋮ Mean field limits of the Gross-Pitaevskii and parabolic Ginzburg-Landau equations ⋮ From the Ginzburg-Landau model to vortex lattice problems ⋮ Three dimensional vortex approximation construction and \({\epsilon}\)-level estimates for the Ginzburg-Landau functional ⋮ SCALING LIMITS OF THE CHERN–SIMONS–HIGGS ENERGY ⋮ Analysis of a Ginzburg-Landau type energy model for smectic \(C^\ast\) liquid crystals with defects ⋮ Energy estimate for the type-II superconducting film ⋮ The generalized point-vortex problem and rotating solutions to the Gross-Pitaevskii equation on surfaces of revolution ⋮ The \(\Gamma\)-limit of the two-dimensional Ohta-Kawasaki energy. Droplet arrangement via the renormalized energy ⋮ Global Jacobian and \(\Gamma\)-convergence in a two-dimensional Ginzburg-Landau model for boundary vortices ⋮ Variational methods for the modelling of inelastic solids. Abstracts from the workshop held February 4--10, 2018 ⋮ Topological defects in the abelian Higgs model ⋮ Topological singular set of vector-valued maps. I: Applications to manifold-constrained Sobolev and BV spaces ⋮ Mean-field dynamics for Ginzburg-Landau vortices with pinning and forcing ⋮ On the first critical field in the three dimensional Ginzburg-Landau model of superconductivity ⋮ The line-tension approximation as the dilute limit of linear-elastic dislocations ⋮ Gamma limit of the nonself-dual Chern-Simons-Higgs energy ⋮ Saturn ring defect around a spherical particle immersed in a nematic liquid crystal ⋮ A model problem for nematic-isotropic transitions with highly disparate elastic constants ⋮ Line defects in the small elastic constant limit of a three-dimensional Landau-de Gennes model ⋮ Mean field limits for Ginzburg-Landau vortices ⋮ Large deviations for the two-dimensional two-component plasma ⋮ Lorentz space estimates for the Ginzburg-Landau energy ⋮ Vorticity measure of type-II superconducting thin films ⋮ Generalized Ginzburg-Landau equations in high dimensions ⋮ On the Lawrence-Doniach model of superconductivity: magnetic fields parallel to the axes ⋮ Ginzburg-Landau functionals and renormalized energy: a revised \({\gamma}\)-convergence approach ⋮ A compactness result for Landau state in thin-film micromagnetics ⋮ The transition to a giant vortex phase in a fast rotating Bose-Einstein condensate ⋮ Unnamed Item ⋮ \(\Gamma\)-convergence analysis of systems of edge dislocations: the self energy regime ⋮ Critical rotational speeds in the Gross-Pitaevskii theory on a disc with Dirichlet boundary conditions ⋮ Mean-Field Limits for Some Riesz Interaction Gradient Flows ⋮ On the shape of interlayer vortices in the Lawrence--Doniach model ⋮ A rigorous derivation of a free-boundary problem arising in superconductivity ⋮ Ginzburg-Landau vortices, Coulomb gases, and renormalized energies ⋮ APPROXIMATIONS WITH VORTICITY BOUNDS FOR THE GINZBURG–LANDAU FUNCTIONAL ⋮ \(\Gamma\)-convergence and the emergence of vortices for Ginzburg-Landau on thin shells and manifolds ⋮ Vortex analysis of the periodic Ginzburg-Landau model ⋮ On the first critical field in Ginzburg-Landau theory for thin shells and manifolds ⋮ Analysis of nematic liquid crystals with disclination lines ⋮ Convergence of Ginzburg-Landau functionals in three-dimensional superconductivity ⋮ Uniform estimates for the parabolic Ginzburg–Landau equation ⋮ Higher-Dimensional Coulomb Gases and Renormalized Energy Functionals ⋮ Defects in nematic shells: a \(\Gamma\)-convergence discrete-to-continuum approach ⋮ On Ginzburg-Landau vortices of superconducting thin films ⋮ On the variations of the vortex number in a periodic Ginzburg-Landau model ⋮ Topological singular set of vector-valued maps. II: \( \varGamma \)-convergence for Ginzburg-Landau type functionals ⋮ Lorentz space estimates and Jacobian convergence for the Ginzburg-Landau energy with applied magnetic field ⋮ Γ-convergence analysis for discrete topological singularities: The anisotropic triangular lattice and the long range interaction energy ⋮ The Saturn ring effect in nematic liquid crystals with external field: effective energy and hysteresis ⋮ On minimizers of a Landau-de Gennes energy functional on planar domains ⋮ Metastability and dynamics of discrete topological singularities in two dimensions: a \(\Gamma\)-convergence approach ⋮ Estimates by gap potentials of free homotopy decompositions of critical Sobolev maps ⋮ Minimizers near the first critical field for the nonself-dual Chern-Simons-Higgs energy ⋮ Ginzburg-Landau relaxation for harmonic maps on planar domains into a general compact vacuum manifold ⋮ Topological singularities in periodic media: Ginzburg-Landau and core-radius approaches ⋮ A product-estimate for Ginzburg-Landau and corollaries ⋮ Energy Estimates and Cavity Interaction for a Critical-Exponent Cavitation Model ⋮ Ginzburg-Landau vortices: Weak stability and Schrödinger equation dynamics ⋮ Hydrodynamic Limit of the Gross-Pitaevskii Equation ⋮ Separation of domain walls with nonlocal interaction and their renormalised energy by \(\Gamma\)-convergence in thin ferromagnetic films ⋮ Limiting behavior of the Ginzburg-Landau functional ⋮ Vortex helices for the Gross-Pitaevskii equation ⋮ Weak anchoring for a two-dimensional liquid crystal
This page was built for publication: Lower Bounds for Generalized Ginzburg--Landau Functionals