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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.
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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
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 4
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