Radial solutions for the Ginzburg-Landau equation with applied magnetic field.

DOI10.1016/j.na.2003.07.001zbMath1055.35117OpenAlexW2054516556MaRDI QIDQ1421155

Myrto Sauvageot

Publication date: 26 January 2004

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2003.07.001

zbMATH Keywords

radial solutionsGinzburg-Landau equationsymmetric vorticesGinzburg-Landau model of superconductivity

Mathematics Subject Classification ID

Statistical mechanics of superconductors (82D55) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (1)

ON THE HESSIAN OF THE ENERGY FORM IN THE GINZBURG–LANDAU MODEL OF SUPERCONDUCTIVITY

Cites Work

• A bifurcation analysis for the Ginzburg-Landau equation
• Stable nucleation for the Ginzburg-Landau system with an applied magnetic field
• Properties of the solutions of the Ginzburg-Landau equation on the bifurcation branch
• Linear and nonlinear aspects of vortices. The Ginzburg-Landau model
• Pinning phenomena in the Ginzburg-Landau model of superconductivity
• Uniqueness of symmetric vortex solutions in the Ginzburg-Landau model superconductivity
• Symmetric vortices for the Ginzberg-Landau equations of superconductivity and the nonlinear desingularization phenomenon
• On the stability of radial solutions of the Ginzburg-Landau equation
• A qualitative study of the real solutions of an ordinary differential equation related to the Ginzburg-Landau equation
• Homotopy classification of minimizers of the Ginzburg-Landau energy and the existence of permanent currents
• On the minimizers of the Ginzburg-Landau energy for high kappa: The axially symmetric case
• Global minimizers for the Ginzburg-Landau functional below the first critical magnetic field
• ON THE SYMMETRY AND UNIQUENESS OF SOLUTIONS OF THE GINZBURG–LANDAU EQUATIONS FOR SMALL DOMAINS
• A rigorous derivation of a free-boundary problem arising in superconductivity
• Analysis and Approximation of the Ginzburg–Landau Model of Superconductivity
• Minimizing properties of arbitrary solutions to the Ginzburg–Landau equation

This page was built for publication: Radial solutions for the Ginzburg-Landau equation with applied magnetic field.