Existence of time periodic solutions for the Ginzburg-Landau equations of superconductivity

DOI10.1006/jmaa.1999.6283zbMath0928.35075OpenAlexW2017045419MaRDI QIDQ1288165

Bixiang Wang

Publication date: 16 December 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6283

zbMATH Keywords

a priori estimatesgauge invarianceSchauder fixed point theoremtime periodic applied magnetic field

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Periodic solutions to PDEs (35B10) Statistical mechanics of superconductors (82D55) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Related Items (7)

High-order compact ADI method using predictor-corrector scheme for 2D complex Ginzburg-Landau equation ⋮ Direct meshless local Petrov-Galerkin (DMLPG) method for 2D complex Ginzburg-Landau equation ⋮ Multiplicity and stability of time-periodic solutions of Ginzburg-Landau equations of super\-conductivity ⋮ Wave propagation generated by piezoelectric actuators attached to elastic substrates ⋮ Time-periodic solution of the weakly dissipative Camassa-Holm equation ⋮ Existence of periodic solutions for Ginzburg-Landau equations of superconductivity ⋮ Time periodic solution of the viscous Camassa-Holm equation

Cites Work

• Infinite-dimensional dynamical systems in mechanics and physics
• An analysis of a mixed finite element method for the Navier-Stokes equations
• Dynamics of vortices in Ginzburg-Landau theories with applications to superconductivity
• Determining nodes for the Ginzburg-Landau equations of superconductivity
• Ordinary differential equations. An introduction to nonlinear analysis. Transl. from the German by Gerhard Metzen
• Global weak solutions for the Ginzburg-Landau equations of superconductivity
• Time dependent Ginzburg-Landau equations of superconductivity
• Macroscopic Models for Superconductivity
• On a non‐stationary Ginzburg–Landau superconductivity model
• On an evolutionary system of ginzburg-landau equations with fixed total magnetic flux
• Global existence and uniqueness of solutions of the time-dependent ginzburg-landau model for superconductivity
• Equivalent Norms for Sobolev Spaces

This page was built for publication: Existence of time periodic solutions for the Ginzburg-Landau equations of superconductivity