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作者:

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

收录:

Scopus SCIE

摘要:

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.

关键词:

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

作者机构:

  • [ 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

通讯作者信息:

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

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来源 :

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS

ISSN: 1534-0392

年份: 2017

期: 1

卷: 16

页码: 273-293

1 . 0 0 0

JCR@2022

ESI学科: MATHEMATICS;

ESI高被引阀值:66

中科院分区:3

被引次数:

WoS核心集被引频次: 6

SCOPUS被引频次: 7

ESI高被引论文在榜: 0 展开所有

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中文被引频次:

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