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Author:

Hsiao, Ling (Hsiao, Ling.) | Li, Fucai (Li, Fucai.) | Wang, Shu (Wang, Shu.)

Indexed by:

Scopus SCIE

Abstract:

The combined quasineutral and inviscid limit for the Vlasov-Poisson-Fokker-Planck (VPFP) system is rigorously derived in this paper. It is shown that the solution of VPFP system converges to the solution of incompressible Euler equations with damping. The proof of convergence result is based on compactness arguments and the so-called relative-entropy method.

Keyword:

incompressible Euler equations relative-entropy method Vlasov-Poisson-Fokker-Planck system

Author Community:

  • [ 1 ] [Hsiao, Ling]Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
  • [ 2 ] [Li, Fucai]Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China
  • [ 3 ] [Wang, Shu]Beijing Univ Technol, Coll Appl Sci, Beijing 100022, Peoples R China

Reprint Author's Address:

  • [Hsiao, Ling]Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China

Email:

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Source :

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS

ISSN: 1534-0392

Year: 2008

Issue: 3

Volume: 7

Page: 579-589

1 . 0 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

JCR Journal Grade:1

Cited Count:

WoS CC Cited Count: 10

SCOPUS Cited Count: 10

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 10

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