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Author:

Li, Xin (Li, Xin.) | Wang, Shu (Wang, Shu.) (Scholars:王术) | Feng, Yue-Hong (Feng, Yue-Hong.)

Indexed by:

EI Scopus SCIE

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.

Keyword:

Plasmas Non-constant steady-state solutions Global smooth solutions Bipolar non-isentropic Euler-Maxwell equations Longtime behavior

Author Community:

  • [ 1 ] [Li, Xin]Beijing Univ Technol, Coll Appl Sci, Ping Le Yuan 100, Beijing 100124, Peoples R China
  • [ 2 ] [Wang, Shu]Beijing Univ Technol, Coll Appl Sci, Ping Le Yuan 100, Beijing 100124, Peoples R China
  • [ 3 ] [Feng, Yue-Hong]Beijing Univ Technol, Coll Appl Sci, Ping Le Yuan 100, Beijing 100124, Peoples R China

Reprint Author's Address:

  • [Feng, Yue-Hong]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

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Source :

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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