UNIFORM WELL-POSEDNESS FOR A TIME-DEPENDENT GINZBURG-LANDAU MODEL IN SUPERCONDUCTIVITY

Fan, Jishan; Samet, Bessem; Zhou, Yong

Osaka Journal of Mathematics, 2019, 56(2), 269-276

アクセス数:204件（2025-07-13 04:28 集計）

固定URL: https://doi.org/10.18910/72318

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タイトル	UNIFORM WELL-POSEDNESS FOR A TIME-DEPENDENT GINZBURG-LANDAU MODEL IN SUPERCONDUCTIVITY
著者	著者名 Fan, Jishan
	著者名 Samet, Bessem
	著者名 Zhou, Yong
抄録	We study the initial boundary value problem for a time-dependent Ginzburg-Landau model in superconductivity. First, we prove the uniform boundedness of strong solutions with respect to diffusion coefficient 0 < ε < 1 in the case of Coulomb gauge. Our second result is the global existence and uniqueness of the weak solutions to the limit problem when ?ε = 0.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	56(2)
ページ	269-276
刊行年月	2019-04
言語	英語
ハンドルURL	https://hdl.handle.net/11094/72318
DOI	https://doi.org/10.18910/72318
PISSN	00306126
NCID	AA00765910
アクセス権	open access
出版タイプ	Version of Record
カテゴリ	紀要論文 Departmental Bulletin Paper
カテゴリ	Osaka Journal of Mathematics / Volume 56, Number 2 （2019-4）

資源タイプ	紀要論文
ローカル資源タイプ	紀要論文
DCMI資源タイプ	text
DCTERMS.bibliographicCitation	Osaka Journal of Mathematics. 2019, 56(2), p. 269-276
DC.title	UNIFORM WELL-POSEDNESS FOR A TIME-DEPENDENT GINZBURG-LANDAU MODEL IN SUPERCONDUCTIVITY
DC.creator	Fan, Jishan
	Samet, Bessem
	Zhou, Yong
DC.publisher	Osaka University and Osaka City University, Departments of Mathematics
DC.language' scheme='DCTERMS.RFC1766	英語
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2019-04
DCTERMS.abstract	We study the initial boundary value problem for a time-dependent Ginzburg-Landau model in superconductivity. First, we prove the uniform boundedness of strong solutions with respect to diffusion coefficient 0 < ε < 1 in the case of Coulomb gauge. Our second result is the global existence and uniqueness of the weak solutions to the limit problem when ?ε = 0.
DC.identifier	10.18910/72318
DC.format	72318
citation_title	UNIFORM WELL-POSEDNESS FOR A TIME-DEPENDENT GINZBURG-LANDAU MODEL IN SUPERCONDUCTIVITY
citation_author	Fan, Jishan
	Samet, Bessem
	Zhou, Yong
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2019-04
citation_journal_title	Osaka Journal of Mathematics
citation_volume	56
citation_issue	2
citation_firstpage	269
citation_lastpage	276
citation_public_url	https://hdl.handle.net/11094/72318
citation_doi_detail	10.18910/72318
citation_doi	https://doi.org/10.18910/72318