Ginzburg-Landau vortices: Dynamics, pinning, and hysteresis

Fang-Hua Lin, Qiang Du

Research output: Contribution to journalArticle

Abstract

In this paper, we consider three problems related to the mathematical study of vortex phenomena in superconductivity based on the G-L models. First, we study the long-time behavior of the solutions of the time-dependent Ginzburg-Landau equations. Then we describe results concerning the pinning effect of thin regions in a variable thickness thin film. Finally, we prove the existence of vortex-like solutions to the steady state Ginzburg-Landau equations and study the hysteresis phenomenon near the lower critical field.

Original languageEnglish (US)
Pages (from-to)1265-1293
Number of pages29
JournalSIAM Journal on Mathematical Analysis
Volume28
Issue number6
StatePublished - Nov 1997

Fingerprint

Vortex Dynamics
Ginzburg-Landau Equation
Ginzburg-Landau
Hysteresis
Vortex
Vortex flow
Variable Thickness
Superconductivity
State Equation
Long-time Behavior
Thin Films
Thin films
Model

Keywords

  • Ginzburg-Landau equations
  • Hysteresis
  • Long-time behavior
  • Superconductivity
  • Vortex pinning
  • Vortex solution

ASJC Scopus subject areas

  • Mathematics(all)
  • Analysis
  • Applied Mathematics

Cite this

Ginzburg-Landau vortices : Dynamics, pinning, and hysteresis. / Lin, Fang-Hua; Du, Qiang.

In: SIAM Journal on Mathematical Analysis, Vol. 28, No. 6, 11.1997, p. 1265-1293.

Research output: Contribution to journalArticle

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