Solutions of Ginzburg-Landau equations and critical points of the renormalized energy
From MaRDI portal
Publication:1905030
DOI10.1016/S0294-1449(16)30152-4zbMath0845.35052MaRDI QIDQ1905030
Publication date: 11 September 1996
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AIHPC_1995__12_5_599_0
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60)
Related Items
ON NEMATICS STABILIZED BY A LARGE EXTERNAL FIELD, Some Analytical Issues for Elastic Complex Fluids, Critical points via \(\Gamma \)-convergence: general theory and applications, Pinning of vortices for the Ginzburg-Landau functional with variable coefficient, Variational reduction for Ginzburg-Landau vortices, Semi-classical states for nonlinear Schrödinger equations, Mixed vortex-antivortex solutions of Ginzburg-Landau equations, Periodic orbits of Gross-Pitaevskii in the disc with vortices following point vortex flow, Lower bounds for the energy of unit vector fields and applications, Topological methods for the Ginzburg-Landau equations, Vortex rings for the Gross-Pitaevskii equation in \(\mathbb R^3\), Symmetry and multiplicity of solutions in a two-dimensional Landau-de Gennes model for liquid crystals, Some remarks on the linearized operator about the radial solution for the Ginzburg--Landau equation., Some remarks concerning symmetry-breaking for the Ginzburg-Landau equation, Analysis of a Ginzburg-Landau type energy model for smectic \(C^\ast\) liquid crystals with defects, Solutions of Ginzburg-Landau equations with weight and minimizers of the renormalized energy, Unnamed Item, Small energy Ginzburg-Landau minimizers in \(\mathbb{R}^3\), Vortex dynamics of Ginzburg-Landau equations in inhomogeneous superconductors, Unnamed Item, Analysis of nematic liquid crystals with disclination lines, Hölder convergence of Ginzburg-Landau approximations to the harmonic map heat flow, Gauge Invariant Eigenvalue Problems in ℝⁿ and in ℝⁿ₊, Estimates of the upper critical field for the Ginzburg-Landau equations of superconductivity, A remark on multiplicity of solutions for the Ginzburg-Landau equation, Ginzburg-Landau vortices: Weak stability and Schrödinger equation dynamics, Surface nucleation of superconductivity in 3-dimensions, Scaling limits and regularity results for a class of Ginzburg-Landau systems, Lines vortices in the U(1) - Higgs model, Interacting helical vortex filaments in the three-dimensional Ginzburg-Landau equation
Cites Work
- Unnamed Item
- Unnamed Item
- Asymptotics for a class of non-linear evolution equations, with applications to geometric problems
- Vortices in complex scalar fields
- On the evolution of harmonic mappings of Riemannian surfaces
- Existence and partial regularity results for the heat flow for harmonic maps
- Asymptotics for the minimization of a Ginzburg-Landau functional
- Quantization effects for \(-\Delta u=u(1-| u|^ 2)\) in \(\mathbb{R}^ 2\)
- Dynamics of vortices in Ginzburg-Landau theories with applications to superconductivity
- Singularities for \(p\)-energy minimizing unit vector fields on planar domains
- Evolution of harmonic maps with Dirichlet boundary conditions
- On the Slow Motion of Vortices in the Ginzburg–Landau Heat Flow
- Ginzburg-Landau vortices