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Author:

Feng, Yue-Hong (Feng, Yue-Hong.) | Liu, Cun-Ming (Liu, Cun-Ming.)

Indexed by:

Scopus SCIE

Abstract:

This paper is concerned with a stability problem for compressible Navier-Stokes-Poisson systems. It arises in the modeling of semiconductors with a viscosity term in momentum equations. We prove that smooth solutions exist globally in time near the steady-state solution, and converge to the steady state for large time. In this stability result, we don't give any special assumptions on the given doping profile. The proof is based on the techniques of anti-symmetric matrix and an induction argument on the order of the space derivatives of solutions in energy estimates. (C) 2018 Elsevier Inc. All rights reserved.

Keyword:

Global smooth solution Energy estimate Navier-Stokes-Poisson system Steady-state

Author Community:

  • [ 1 ] [Feng, Yue-Hong]Beijing Univ Technol, Coll Appl Sci, Beijing 100022, Peoples R China
  • [ 2 ] [Liu, Cun-Ming]Qufu Normal Univ, Dept Math, Qufu 273165, Shandong, Peoples R China

Reprint Author's Address:

  • [Liu, Cun-Ming]Qufu Normal Univ, Dept Math, Qufu 273165, Shandong, Peoples R China

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Source :

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

ISSN: 0022-247X

Year: 2018

Issue: 2

Volume: 462

Page: 1679-1694

1 . 3 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:63

JCR Journal Grade:1

Cited Count:

WoS CC Cited Count: 23

SCOPUS Cited Count: 21

ESI Highly Cited Papers on the List: 5 Unfold All

  • 2020-3
  • 2020-1
  • 2019-11
  • 2019-9
  • 2018-11

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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