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Author:

Feng, Yuehong (Feng, Yuehong.) | Wang, Shu (Wang, Shu.) (Scholars:王术) | Li, Xin (Li, Xin.)

Indexed by:

Scopus SCIE CSCD

Abstract:

This paper is concerned with the bipolar compressible Navier-Stokes-Maxwell system for plasmas. We investigated, by means of the techniques of symmetrizer and elaborate energy method, the Cauchy problem in R-3. Under the assumption that the initial values are close to a equilibrium solutions, we prove that the smooth solutions of this problem converge to a steady state as the time goes to the infinity. It is shown that the difference of densities of two carriers converge to the equilibrium states with the norm parallel to.parallel to(Hs-1), while the velocities and the electromagnetic fields converge to the equilibrium states with weaker norms than parallel to.parallel to(Hs-1). This phenomenon on the charge transport shows the essential difference between the unipolar Navier-Stokes-Maxwell and the bipolar Navier-Stokes-Maxwell system.

Keyword:

global smooth solutions large-time behavior energy estimates bipolar compressible Navier-Stokes-Maxwell system plasmas

Author Community:

  • [ 1 ] [Feng, Yuehong]Beijing Univ Technol, Coll Appl Sci, Beijing 100022, Peoples R China
  • [ 2 ] [Wang, Shu]Beijing Univ Technol, Coll Appl Sci, Beijing 100022, Peoples R China
  • [ 3 ] [Feng, Yuehong]Univ Blaise Pascal, Lab Math, F-63000 Clermont Ferrand, France
  • [ 4 ] [Li, Xin]Xinyang Vocat & Tech Coll, Dept Math & Comp Sci, Xinyang 464000, Peoples R China

Reprint Author's Address:

  • [Feng, Yuehong]Beijing Univ Technol, Coll Appl Sci, Beijing 100022, Peoples R China

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Source :

ACTA MATHEMATICA SCIENTIA

ISSN: 0252-9602

Year: 2015

Issue: 5

Volume: 35

Page: 955-969

1 . 0 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:82

JCR Journal Grade:3

CAS Journal Grade:3

Cited Count:

WoS CC Cited Count: 4

SCOPUS Cited Count: 4

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 6

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