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Author:

Li, Min (Li, Min.) | Pu, Xueke (Pu, Xueke.) | Wang, Shu (Wang, Shu.) (Scholars:王术)

Indexed by:

Scopus SCIE

Abstract:

In this paper, we study the quasineutral limit and asymptotic behaviors for the quantum Navier-Stokes-Possion equation. We apply a formal expansion according to Debye length and derive the neutral incompressible Navier-Stokes equation. To establish this limit mathematically rigorously, we derive uniform (in Debye length) estimates for the remainders, for well prepared initial data. It is demonstrated that the quantum effect do play important roles in the estimates and the norm introduced depends on the Planck constant h > 0.

Keyword:

formal expansion Quantum Navier-Stokes-Possion system uniform energy estimates well-prepared initial data quasineutral limit

Author Community:

  • [ 1 ] [Li, Min]Chongqing Univ, Sch Math & Stat, Chongqing 401331, Peoples R China
  • [ 2 ] [Pu, Xueke]Chongqing Univ, Dept Math, Chongqing 401331, Peoples R China
  • [ 3 ] [Wang, Shu]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

Reprint Author's Address:

  • [Pu, Xueke]Chongqing Univ, Dept Math, Chongqing 401331, Peoples R China

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Source :

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS

ISSN: 1534-0392

Year: 2017

Issue: 1

Volume: 16

Page: 273-293

1 . 0 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:66

CAS Journal Grade:3

Cited Count:

WoS CC Cited Count: 6

SCOPUS Cited Count: 7

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 5

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