Klein-Gordon-Zakharov system in energy space: Blow-up profile and subsonic limit

doi:10.1002/mma.5579

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	Klein-Gordon-Zakharov system in energy space: Blow-up profile and subsonic limit
	Shi, Qihong 1; Wang, Shu 2
刊名	MATHEMATICAL METHODS IN THE APPLIED SCIENCES
	2019-06
卷号	42 期号:9 页码:3211-3221
关键词	blow-up rate energy space finite-time blowup KGZ system subsonic limit
ISSN号	0170-4214
DOI	10.1002/mma.5579
英文摘要	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.
资助项目	National Natural Science Foundation of China[11701244] ; National Natural Science Foundation of China[11831003] ; National Natural Science Foundation of China[11771031] ; National Natural Science Foundation of China[11531010] ; National Natural Science Foundation of China[11726625]
WOS研究方向	Mathematics
语种	英语
出版者	WILEY
WOS记录号	WOS:000467275100017
状态	已发表
内容类型	期刊论文
源URL	[http://119.78.100.223/handle/2XXMBERH/31825]
专题	理学院
通讯作者	Shi, Qihong
作者单位	1.Lanzhou Univ Technol, Dept Math, Lanzhou 730050, Gansu, Peoples R China 2.Beijing Univ Technol, Coll Appl Sci, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Shi, Qihong,Wang, Shu. Klein-Gordon-Zakharov system in energy space: Blow-up profile and subsonic limit[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES,2019,42(9):3211-3221.
APA	Shi, Qihong,&Wang, Shu.(2019).Klein-Gordon-Zakharov system in energy space: Blow-up profile and subsonic limit.MATHEMATICAL METHODS IN THE APPLIED SCIENCES,42(9),3211-3221.
MLA	Shi, Qihong,et al."Klein-Gordon-Zakharov system in energy space: Blow-up profile and subsonic limit".MATHEMATICAL METHODS IN THE APPLIED SCIENCES 42.9(2019):3211-3221.