Quasineutral limit of the Schrödinger-Poisson system in Coulomb gauge

Chi Kun Lin; Yau Shu Wong; Kung Chien Wu

Quasineutral limit of the Schrödinger-Poisson system in Coulomb gauge

Chi Kun Lin, Yau Shu Wong, Kung Chien Wu

Department of Mathematics

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

1 Citation (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	465-489
Number of pages	25
Journal	Journal of Mathematical Sciences (Japan)
Volume	18
Issue number	4
Publication status	Published - 2011

All Science Journal Classification (ASJC) codes

General Mathematics

Cite this

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title = "Quasineutral limit of the Schr{\"o}dinger-Poisson system in Coulomb gauge",

abstract = "The zero Debye length asymptotic of the Schr{\"o}dinger-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 Schr{\"o}dinger-Poisson system in the Coulomb gauge converges to the solution of the rotating incompressible Euler equation plus a fast singular oscillating gradient vector field.",

author = "Lin, {Chi Kun} and Wong, {Yau Shu} and Wu, {Kung Chien}",

year = "2011",

language = "English",

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journal = "Journal of Mathematical Sciences (Japan)",

issn = "1340-5705",

publisher = "Graduate School of Mathematical Sciences, The University of Tokyo",

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AU - Lin, Chi Kun

AU - Wong, Yau Shu

AU - Wu, Kung Chien

PY - 2011

Y1 - 2011

N2 - 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.

AB - 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.

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M3 - Article

AN - SCOPUS:84862185777

SN - 1340-5705

VL - 18

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JO - Journal of Mathematical Sciences (Japan)

JF - Journal of Mathematical Sciences (Japan)

IS - 4

ER -

Quasineutral limit of the Schrödinger-Poisson system in Coulomb gauge

Abstract

All Science Journal Classification (ASJC) codes

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