On the shape of Meissner solutions to the 2-dimensional Ginzburg-Landau system
DOI10.1007/s00208-022-02460-2OpenAlexW4295234309WikidataQ114231099 ScholiaQ114231099MaRDI QIDQ6047241
Publication date: 7 September 2023
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00208-022-02460-2
Asymptotic behavior of solutions to PDEs (35B40) Singular perturbations in context of PDEs (35B25) Statistical mechanics of superconductors (82D55) Asymptotic expansions of solutions to PDEs (35C20) Phase transitions (general) in equilibrium statistical mechanics (82B26) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Ginzburg-Landau equations (35Q56) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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Cites Work
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- On the shape of meissner solutions to a limiting form of Ginzburg-Landau systems
- Nucleation of bulk superconductivity close to critical magnetic field
- Vortices in the magnetic Ginzburg-Landau model
- Nucleation of vortices in type-II superconductors in increasing magnetic fields
- On a problem related to vortex nucleation of superconductivity
- Meissner states of type II superconductors
- Estimates of the upper critical field for the Ginzburg-Landau equations of superconductivity
- Surface superconductivity in applied magnetic fields above \(H_{C_2}\)
- Quasilinear elliptic system arising in a three-dimensional type-II superconductor for infinite \(\kappa\)
- Upper critical field and location of surface nucleation of superconductivity
- Stable configurations in superconductivity: Uniqueness, multiplicity, and vortex-nucleation
- Global minimizers for the Ginzburg-Landau functional below the first critical magnetic field
- Nucleation of instability of the Meissner state of 3-dimensional superconductors
- Branched Microstructures in the Ginzburg--Landau Model of Type-I Superconductors
- Ginzburg--Landau Vortices: Dynamics, Pinning, and Hysteresis
- Convergence of Meissner Minimizers of the Ginzburg--Landau Energy of Superconductivity as $\kappa\to +\infty$
- LOCAL MINIMIZERS FOR THE GINZBURG–LANDAU ENERGY NEAR CRITICAL MAGNETIC FIELD: PART II
- Surface superconductivity in 3 dimensions
- Superheating Field of Type II Superconductors
- On the Ginzburg‐Landau critical field in three dimensions
- Boundary behavior of the Ginzburg-Landau order parameter in the surface superconductivity regime