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Author:

Ueda, Yoshihiro (Ueda, Yoshihiro.) | Wang, Shu (Wang, Shu.) (Scholars:王术) | Kawashima, Shuichi (Kawashima, Shuichi.)

Indexed by:

SCIE

Abstract:

We consider the large-time behavior of solutions to the initial value problem for the Euler-Maxwell system in R-3. This system verifies the decay property of the regularity-loss type. Under smallness condition on the initial perturbation, we show that the solution to the problem exists globally in time and converges to the equilibrium state as time tends to infinity. The crucial point of the proof is to derive a priori estimates of solutions by using the energy method.

Keyword:

regularity-loss time asymptotic decay Euler-Maxwell system energy method

Author Community:

  • [ 1 ] [Ueda, Yoshihiro]Kobe Univ, Grad Sch Maritime Sci, Kobe, Hyogo 6580022, Japan
  • [ 2 ] [Wang, Shu]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
  • [ 3 ] [Kawashima, Shuichi]Kyushu Univ, Fac Math, Fukuoka 8190395, Japan

Reprint Author's Address:

  • [Ueda, Yoshihiro]Kobe Univ, Grad Sch Maritime Sci, Kobe, Hyogo 6580022, Japan

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Source :

SIAM JOURNAL ON MATHEMATICAL ANALYSIS

ISSN: 0036-1410

Year: 2012

Issue: 3

Volume: 44

Page: 2002-2017

2 . 0 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

JCR Journal Grade:1

CAS Journal Grade:2

Cited Count:

WoS CC Cited Count: 56

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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