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
Quasineutral Limit of the Schrödinger-Poisson System in Coulomb Gauge
jms180404.pdf
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