On the solutions of the one-dimensional Ginzburg-Landau equations for superconductivity

DOI10.1016/S0167-2789(99)00026-3zbMath0946.34023arXivcond-mat/9902261OpenAlexW3102297659MaRDI QIDQ1809400

Amandine Aftalion, William C. Troy

Publication date: 10 February 2000

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/9902261

zbMATH Keywords

solutionsnumber, symmetry and stabilityone-dimensional Ginzburg-Landau equations

Mathematics Subject Classification ID

Statistical mechanics of superconductors (82D55) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)

Related Items

Coexistence of nontrivial solutions of the one-dimensional Ginzburg-Landau equation: A computer-assisted proof, Superheating field for the Ginzburg–Landau equations in the case of a large bounded interval, Global superheating field for superconductors in a large bounded interval, Numerical study of the stability of solutions for the half-space Ginzburg--Landau model, The bifurcation diagrams for the Ginzburg-Landau system of superconductivity, Existence and non-existence of solutions to the Ginzburg-Landau equations in a semi-infinite superconducting film, ON THE CONTINUITY OF THE RESPONSE MAP AND AN ALTERNATIVE SHOOTING METHOD FOR THE HALF-SPACE GINZBURG–LANDAU MODEL, The Parr formula for the superheating field in a semi-infinite film, Multiple states and hysteresis for type I superconductors

Uses Software

• AUTO

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Branch switching in bifurcation problems for ordinary differential equations
• On the one-dimensional Ginsburg-Landau BVPs
• Familles de branches de bifurcations dans les équations de Ginzburg-Landau
• Normal/superconducting transitions in Landau–Ginzburg theory
• Boundary value problems of the Ginzburg–Landau equations
• Analysis and Approximation of the Ginzburg–Landau Model of Superconductivity
• Symmetric Superconducting States in Thin Films
• Macroscopic Models for Superconductivity
• Stability of Bifurcating Solutions for the Ginzburg–Landau Equations
• There are Asymmetric Minimizers for the One-Dimensional Ginzburg--Landau Model of Superconductivity
• The existence of multiple solutions for a Ginzburg–Landau type model of superconductivity
• NUMERICAL ANALYSIS AND CONTROL OF BIFURCATION PROBLEMS (I): BIFURCATION IN FINITE DIMENSIONS
• Asymptotic Analysis of a Secondary Bifurcation of the One-Dimensional Ginzburg--Landau Equations of Superconductivity
• Asymptotic analysis of the bifurcation diagram for symmetric one-dimensional solutions of the Ginzburg–Landau equations
• Superheating Field of Type II Superconductors
• RIGOROUS RESULTS FOR THE GINZBURG-LANDAU EQUATIONS ASSOCIATED TO A SUPERCONDUCTING FILM IN THE WEAK κ LIMIT
• Perturbation Theory of Nonlinear Boundary-Value Problems