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Author:

Wang, S (Wang, S.)

Indexed by:

Scopus SCIE

Abstract:

The quasineutral limit of Euler-Poisson system with and without viscosity in plasma physics in the torus T-d, d greater than or equal to l is studied. That quasineutral regimes are the incompressible Euler or Navier-Stokes equations is proven. In the mean time, long-time existence for large amplitude smooth solutions of Euler-Poisson system in torus T-d, d greater than or equal to 1, with or without viscosity as the Debye length lambda-->0 is also obtained provided that the smooth solution of incompressible Euler or Navier-Stokes equations exists globally for nearby initial data. In particular, the existence of large amplitude smooth solutions of Euler-Poisson system in torus T-2 with or without viscosity and with sufficiently small Debye length is obtained on any arbitrary time interval. The proof of these results is based on a straightforward extension of the classical energy method, the modulated energy method, the iteration techniques and the standard compactness argument.

Keyword:

Euler-Poisson system viscosity incompressible Euler equations quasineutral limit incompressible Navier-Stokes equations

Author Community:

  • [ 1 ] Beijing Univ Technol, Coll Sci, Beijing, Peoples R China
  • [ 2 ] Univ Vienna, Inst Math, A-1090 Vienna, Austria

Reprint Author's Address:

  • [Wang, S]Univ Vienna, Inst Math, Boltzmanngasse 9, A-1090 Vienna, Austria

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Source :

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS

ISSN: 0360-5302

Year: 2004

Issue: 3-4

Volume: 29

Page: 419-456

1 . 9 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

JCR Journal Grade:1

Cited Count:

WoS CC Cited Count: 113

SCOPUS Cited Count: 115

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 8

Affiliated Colleges:

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