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

Yaniv Almog; Leonid Berlyand; Dmitry Golovaty; Itai Shafrir

doi:10.1063/1.4923332

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

Yaniv Almog
, Leonid Berlyand
, Dmitry Golovaty
, Itai Shafrir

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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 language	English (US)
Article number	071502
Journal	Journal of Mathematical Physics
Volume	56
Issue number	7
DOIs	https://doi.org/10.1063/1.4923332
State	Published - Jul 2015

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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

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.",

author = "Yaniv Almog and Leonid Berlyand and Dmitry Golovaty and Itai Shafrir",

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T1 - Existence and stability of superconducting solutions for the ginzburg-landau equations in the presence of weak electric currents

AU - Almog, Yaniv

AU - Berlyand, Leonid

AU - Golovaty, Dmitry

AU - Shafrir, Itai

PY - 2015/7

Y1 - 2015/7

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/84937064741

UR - https://www.scopus.com/pages/publications/84937064741#tab=citedBy

U2 - 10.1063/1.4923332

DO - 10.1063/1.4923332

M3 - Article

AN - SCOPUS:84937064741

SN - 0022-2488

VL - 56

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 7

M1 - 071502

ER -

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

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