Global Well-posedness and Global Attractor for Two-dimensional Zakharov-Kuznetsov Equation

doi:10.1007/s10114-020-9381-6

CSpace

	Global Well-posedness and Global Attractor for Two-dimensional Zakharov-Kuznetsov Equation
	Shan, Min Jie
	2020-09-01
发表期刊	ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN	1439-8516
卷号	36 期号:9 页码:969-1000
摘要	The initial value problem for two-dimensional Zakharov-Kuznetsov equation is shown to be globally well-posed in H-s(R-2) for all 5/7 < s < 1 via using I-method in the context of atomic spaces. By means of the increment of modified energy, the existence of global attractor for the weakly damped, forced Zakharov-Kuznetsov equation is also established in H-s (R-2) for 10/11 < s < 1.
关键词	Zakharov-Kuznetsov equation global well-posedness global attractor I-method atomic spaces
DOI	10.1007/s10114-020-9381-6
收录类别	SCI
语种	英语
资助项目	China Postdoctoral Science Foundation[2019M650872]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000566338000001
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/52070
专题	中国科学院数学与系统科学研究院
通讯作者	Shan, Min Jie
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Shan, Min Jie. Global Well-posedness and Global Attractor for Two-dimensional Zakharov-Kuznetsov Equation[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2020,36(9):969-1000.
APA	Shan, Min Jie.(2020).Global Well-posedness and Global Attractor for Two-dimensional Zakharov-Kuznetsov Equation.ACTA MATHEMATICA SINICA-ENGLISH SERIES,36(9),969-1000.
MLA	Shan, Min Jie."Global Well-posedness and Global Attractor for Two-dimensional Zakharov-Kuznetsov Equation".ACTA MATHEMATICA SINICA-ENGLISH SERIES 36.9(2020):969-1000.