Gauge invariance and asymptotic behavior for the Ginzburg–Landau equations of superconductivity

Valeria Berti; Mauro Fabrizio; Claudio Giorgi

doi:10.1016/j.jmaa.2006.06.031

Gauge invariance and asymptotic behavior for the Ginzburg–Landau equations of superconductivity

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2006.06.031 ◽

2007 ◽

Vol 329 (1) ◽

pp. 357-375 ◽

Cited By ~ 3

Author(s):

Valeria Berti ◽

Mauro Fabrizio ◽

Claudio Giorgi

Keyword(s):

Asymptotic Behavior ◽

Gauge Invariance ◽

Ginzburg Landau ◽

Ginzburg Landau Equations

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The asymptotic behavior of the stochastic coupled Kuramoto–Sivashinsky and Ginzburg–Landau equations

Boundary Value Problems ◽

10.1186/s13661-020-01371-y ◽

2020 ◽

Vol 2020 (1) ◽

Author(s):

Lin Lin ◽

Mei Li

Keyword(s):

Asymptotic Behavior ◽

Ginzburg Landau ◽

Ginzburg Landau Equations

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Asymptotic behavior for non-autonomous fractional stochastic Ginzburg–Landau equations on unbounded domains

Journal of Mathematical Physics ◽

10.1063/1.5143404 ◽

2020 ◽

Vol 61 (7) ◽

pp. 072704

Author(s):

Ji Shu ◽

Xin Huang ◽

Jian Zhang

Keyword(s):

Asymptotic Behavior ◽

Unbounded Domains ◽

Ginzburg Landau ◽

Ginzburg Landau Equations

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Superconductivity and the gauge invariance of the Ginzburg–Landau equations

International Journal of Engineering Science ◽

10.1016/s0020-7225(98)00129-3 ◽

1999 ◽

Vol 37 (11) ◽

pp. 1487-1494 ◽

Cited By ~ 5

Author(s):

Mauro Fabrizio

Keyword(s):

Gauge Invariance ◽

Ginzburg Landau ◽

Ginzburg Landau Equations

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Wong-Zakai approximations and asymptotic behavior of stochastic Ginzburg-Landau equations

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2020100 ◽

2017 ◽

Vol 22 (11) ◽

pp. 0-0

Author(s):

Dandan Ma ◽

◽

Ji Shu ◽

Ling Qin

Keyword(s):

Asymptotic Behavior ◽

Ginzburg Landau ◽

Ginzburg Landau Equations

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Asymptotic behavior of stochastic discrete complex Ginzburg–Landau equations

Physica D Nonlinear Phenomena ◽

10.1016/j.physd.2006.07.023 ◽

2006 ◽

Vol 221 (2) ◽

pp. 157-169 ◽

Cited By ~ 25

Author(s):

Yan Lv ◽

Jianhua Sun

Keyword(s):

Asymptotic Behavior ◽

Ginzburg Landau ◽

Ginzburg Landau Equations ◽

Discrete Complex

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Asymptotic behavior of non-autonomous stochastic complex Ginzburg–Landau equations on unbounded thin domains

Journal of Mathematical Physics ◽

10.1063/5.0037663 ◽

2021 ◽

Vol 62 (2) ◽

pp. 022704

Author(s):

Zhang Chen ◽

Lingyu Li

Keyword(s):

Asymptotic Behavior ◽

Thin Domains ◽

Ginzburg Landau ◽

Ginzburg Landau Equations

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Asymptotic behavior of stochastic complex Ginzburg-Landau equations with deterministic non-autonomous forcing on thin domains

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2018181 ◽

2019 ◽

Vol 24 (2) ◽

pp. 449-465 ◽

Cited By ~ 3

Author(s):

Dingshi Li ◽

◽

Xiaohu Wang ◽

Keyword(s):

Asymptotic Behavior ◽

Thin Domains ◽

Ginzburg Landau ◽

Ginzburg Landau Equations

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Existence, regularity, and asymptotic behavior of the solutions to the Ginzburg-Landau equations on ?3

Communications in Mathematical Physics ◽

10.1007/bf01244021 ◽

1989 ◽

Vol 123 (1) ◽

pp. 147-161 ◽

Cited By ~ 15

Author(s):

Yisong Yang

Keyword(s):

Asymptotic Behavior ◽

Ginzburg Landau ◽

Ginzburg Landau Equations

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Existence and non-existence of solutions to the Ginzburg-Landau equations in a semi-infinite superconducting film

Quarterly of Applied Mathematics ◽

10.1090/s0033-569x-04-00943-7 ◽

2004 ◽

Vol 63 (1) ◽

pp. 1-12

Author(s):

Y. Almog

Keyword(s):

Existence Of Solutions ◽

Superconducting Film ◽

Ginzburg Landau ◽

Ginzburg Landau Equations

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Virial theorem and Abrikosov’s solution of the Ginzburg-Landau equations

Physical Review B ◽

10.1103/physrevb.44.7704 ◽

1991 ◽

Vol 44 (14) ◽

pp. 7704-7707 ◽

Cited By ~ 20

Author(s):

U. Klein ◽

B. Pöttinger

Keyword(s):

Virial Theorem ◽

Ginzburg Landau ◽

Ginzburg Landau Equations

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