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Abstract:
In this article, we consider the periodic problem for bipolar non-isentropic Euler-Maxwell equations with damping terms in plasmas. By means of an induction argument on the order of the time-space derivatives of solutions in energy estimates, the global smooth solution with small amplitude was established close to a non-constant steady-state solution with asymptotic stability property. Furthermore, we obtain the global stability of solutions with exponential decay in time near the non-constant steady-states for bipolar non-isentropic Euler-Poisson equations. This phenomenon on the charge transport shows the essential relation and difference between the bipolar non-isentropic and the bipolar isentropic Euler-Maxwell/Poisson equations.
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ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
ISSN: 0044-2275
Year: 2016
Issue: 5
Volume: 67
2 . 0 0 0
JCR@2022
ESI Discipline: MATHEMATICS;
ESI HC Threshold:71
CAS Journal Grade:2
Cited Count:
WoS CC Cited Count: 3
SCOPUS Cited Count: 6
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 2
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