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Author:

Shi, Qihong (Shi, Qihong.) | Wang, Shu (Wang, Shu.)

Indexed by:

EI Scopus SCIE

Abstract:

In this paper, we prove finite-time blowup in energy space for the three-dimensional Klein-Gordon-Zakharov (KGZ) system by modified concavity method. We obtain the blow-up rates of solutions in local and global space, respectively. In addition, by using the energy convergence, we study the subsonic limit of the Cauchy problem for KGZ system and prove that any finite energy solution converges to the corresponding solution of Klein-Gordon equation in energy space.

Keyword:

KGZ system subsonic limit finite-time blowup energy space blow-up rate

Author Community:

  • [ 1 ] [Shi, Qihong]Lanzhou Univ Technol, Dept Math, Lanzhou 730050, Gansu, Peoples R China
  • [ 2 ] [Wang, Shu]Beijing Univ Technol, Coll Appl Sci, Beijing, Peoples R China

Reprint Author's Address:

  • [Shi, Qihong]Lanzhou Univ Technol, Dept Math, Lanzhou 730050, Gansu, Peoples R China

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Source :

MATHEMATICAL METHODS IN THE APPLIED SCIENCES

ISSN: 0170-4214

Year: 2019

Issue: 9

Volume: 42

Page: 3211-3221

2 . 9 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:54

JCR Journal Grade:2

Cited Count:

WoS CC Cited Count: 27

SCOPUS Cited Count: 28

ESI Highly Cited Papers on the List: 10 Unfold All

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WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 4

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