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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.
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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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