Global well-posedness of weak solutions to the time-dependent ginzburg-landau model for superconductivity

Jishan Fan; Tohru Ozawa

doi:10.11650/tjm/180102

Global well-posedness of weak solutions to the time-dependent ginzburg-landau model for superconductivity

Jishan Fan, Tohru Ozawa^*

^*Corresponding author for this work

School of Advanced Science and Engineering

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

15 Citations (Scopus)

Abstract

We prove the global existence and uniqueness of weak solutions to the time dependent Ginzburg-Landau system in superconductivity with Coulomb gauge.

Original language	English
Pages (from-to)	851-858
Number of pages	8
Journal	Taiwanese Journal of Mathematics
Volume	22
Issue number	4
DOIs	https://doi.org/10.11650/tjm/180102
Publication status	Published - 2018 Aug

Keywords

Ginzburg-Landau model
Lorentz gauge
Superconductivity

ASJC Scopus subject areas

Mathematics(all)

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10.11650/tjm/180102

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title = "Global well-posedness of weak solutions to the time-dependent ginzburg-landau model for superconductivity",

abstract = "We prove the global existence and uniqueness of weak solutions to the time dependent Ginzburg-Landau system in superconductivity with Coulomb gauge.",

keywords = "Ginzburg-Landau model, Lorentz gauge, Superconductivity",

author = "Jishan Fan and Tohru Ozawa",

year = "2018",

month = aug,

doi = "10.11650/tjm/180102",

language = "English",

volume = "22",

pages = "851--858",

journal = "Taiwanese Journal of Mathematics",

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publisher = "Mathematical Society of the Rep. of China",

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AU - Fan, Jishan

AU - Ozawa, Tohru

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N2 - We prove the global existence and uniqueness of weak solutions to the time dependent Ginzburg-Landau system in superconductivity with Coulomb gauge.

AB - We prove the global existence and uniqueness of weak solutions to the time dependent Ginzburg-Landau system in superconductivity with Coulomb gauge.

KW - Ginzburg-Landau model

KW - Lorentz gauge

KW - Superconductivity

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ER -

Global well-posedness of weak solutions to the time-dependent ginzburg-landau model for superconductivity

Abstract

Keywords

ASJC Scopus subject areas

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