Quasineutral Limit of the Schrödinger-Poisson System in Coulomb Gauge 利用統計を見る

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アイテムタイプ	紀要論文 / Departmental Bulletin Paper
言語	英語
キーワード	Schrödinger-Poisson system, Coulomb gauge, rotating incompressible Euler equations, quasi-neutral limit
著者	Lin Chi-Kun Wong Yau-Shu Wu Kung-Chien
著者所属	Department of Applied Mathematics, National Chiao Tung University Center of Mathematical Modeling and Scientific Computing, National Chiao Tung University Department of Mathematical and Statistical Sciences, University of Alberta Department of Pure Mathematics and Mathematical Statistics, University of Cambridge
抄録	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.
雑誌名	Journal of mathematical sciences, the University of Tokyo
巻	18
号	4
ページ	465 - 489
発行年	2012-03-30
ISSN	13405705
書誌レコードID	AA11021653
日本十進分類法	415
Mathematical Reviews Number	MR
Mathmatical Subject Classification	35Q40(MSC2010) 35Q55(MSC2010) 76Y05(MSC2010)
出版者	Graduate School of Mathematical Sciences, The University of Tokyo
原稿受領日	2011-04-06

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