Existence and stability of superconducting solutions for the ginzburg-landau equations in the presence of weak electric currents

Yaniv Almog, Leonid V. Berlyand, Dmitry Golovaty, Itai Shafrir

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

For a reduced Ginzburg-Landau model in which the magnetic field is neglected, we prove, for weak electric currents, the existence of a steady-state solution in a vicinity of the purely superconducting state. We further show that this solution is linearly stable.

Original languageEnglish (US)
Article number071502
JournalJournal of Mathematical Physics
Volume56
Issue number7
DOIs
StatePublished - Jan 1 2015

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Ginzburg-Landau Model
Electric Current
Landau-Ginzburg equations
Ginzburg-Landau Equation
Reduced Model
Stability of Solutions
Steady-state Solution
electric current
Linearly
Magnetic Field
magnetic fields

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

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Existence and stability of superconducting solutions for the ginzburg-landau equations in the presence of weak electric currents. / Almog, Yaniv; Berlyand, Leonid V.; Golovaty, Dmitry; Shafrir, Itai.

In: Journal of Mathematical Physics, Vol. 56, No. 7, 071502, 01.01.2015.

Research output: Contribution to journalArticle

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