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

^*Corresponding author for this work

National Yang Ming Chiao Tung University
University of Alberta
University of Cambridge

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
Externally published	Yes

Keywords

Coulomb gauge
Quasi-neutral limit
Rotating incompressible euler equations
Schrödinger-Poisson system

Cite this

@article{87772102449b4cd7914c71e5a221925f,

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.",

keywords = "Coulomb gauge, Quasi-neutral limit, Rotating incompressible euler equations, Schr{\"o}dinger-Poisson system",

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

year = "2011",

language = "English",

volume = "18",

pages = "465--489",

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

issn = "1340-5705",

number = "4",

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TY - JOUR

T1 - Quasineutral limit of the Schrödinger-Poisson system in Coulomb gauge

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.

KW - Coulomb gauge

KW - Quasi-neutral limit

KW - Rotating incompressible euler equations

KW - Schrödinger-Poisson system

UR - https://www.scopus.com/pages/publications/84862185777

M3 - Article

AN - SCOPUS:84862185777

SN - 1340-5705

VL - 18

SP - 465

EP - 489

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

Keywords

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