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Quasineutral Limit of the Schrödinger-Poisson System in Coulomb Gauge
http://hdl.handle.net/2261/53537
http://hdl.handle.net/2261/53537024ab4d9-2eec-4310-9021-7096ca9f8df6
名前 / ファイル | ライセンス | アクション |
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jms180404.pdf (193.2 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2013-04-01 | |||||
タイトル | ||||||
タイトル | Quasineutral Limit of the Schrödinger-Poisson System in Coulomb Gauge | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題 | Schrödinger-Poisson system | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | Coulomb gauge | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | rotating incompressible Euler equations | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | quasi-neutral limit | |||||
主題Scheme | Other | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | departmental bulletin paper | |||||
著者 |
Lin, Chi-Kun
× Lin, Chi-Kun× Wong, Yau-Shu× Wu, Kung-Chien |
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著者所属 | ||||||
著者所属 | Department of Applied Mathematics, National Chiao Tung University | |||||
著者所属 | ||||||
著者所属 | Center of Mathematical Modeling and Scientific Computing, National Chiao Tung University | |||||
著者所属 | ||||||
著者所属 | Department of Mathematical and Statistical Sciences, University of Alberta | |||||
著者所属 | ||||||
著者所属 | Department of Pure Mathematics and Mathematical Statistics, University of Cambridge | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | The zero Debye length asymptotic of the Schrödinger-Poisson system in Coulomb gauge for ill-prepared initial data is studied. We prove that when the scaled Debye length λ → 0, the current density defined by the solution of the Schrödinger-Poisson system in the Coulomb gauge converges to the solution of the rotating incompressible Euler equation plus a fast singular oscillating gradient vector field. | |||||
書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 18, 号 4, p. 465-489, 発行日 2012-03-30 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 13405705 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA11021653 | |||||
日本十進分類法 | ||||||
主題 | 415 | |||||
主題Scheme | NDC | |||||
Mathematical Reviews Number | ||||||
MR | ||||||
Mathmatical Subject Classification | ||||||
35Q40(MSC2010) | ||||||
Mathmatical Subject Classification | ||||||
35Q55(MSC2010) | ||||||
Mathmatical Subject Classification | ||||||
76Y05(MSC2010) | ||||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
2011-04-06 |