HOLDER CONTINUOUS SOLUTIONS OF BOUSSINESQ EQUATIONS

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	HOLDER CONTINUOUS SOLUTIONS OF BOUSSINESQ EQUATIONS
	Tao, Tao 1,2; Zhang, Liqun3,4
	2018-09-01
发表期刊	ACTA MATHEMATICA SCIENTIA
ISSN	0252-9602
卷号	38 期号:5 页码:1591-1616
摘要	We show the existence of dissipative Holder continuous solutions of the Boussinesq equations. More precise, for any beta is an element of(0, 1/5), a time interval [0, T] and any given smooth energy profile e : [0, T] -> (0, infinity), there exist a weak solution (v, theta) of the 3d Boussinesq equations such that (v, theta) is an element of C-beta(T-3 x [0, T]) with e(t) = integral(T3) vertical bar v(x, t)vertical bar(2)dx for all t is an element of [0, T]. This extend the result of [2] about Onsager's conjecture into Boussinesq equation and improve our previous result in [30].
关键词	Boussinesq equations Holder continuous solutions prescribed kinetic energy
语种	英语
资助项目	NSFC[11471320] ; NSFC[11631008]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000446808900009
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/31415
专题	数学所
通讯作者	Tao, Tao
作者单位	1.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China 2.Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 4.UCAS, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Tao, Tao,Zhang, Liqun. HOLDER CONTINUOUS SOLUTIONS OF BOUSSINESQ EQUATIONS[J]. ACTA MATHEMATICA SCIENTIA,2018,38(5):1591-1616.
APA	Tao, Tao,&Zhang, Liqun.(2018).HOLDER CONTINUOUS SOLUTIONS OF BOUSSINESQ EQUATIONS.ACTA MATHEMATICA SCIENTIA,38(5),1591-1616.
MLA	Tao, Tao,et al."HOLDER CONTINUOUS SOLUTIONS OF BOUSSINESQ EQUATIONS".ACTA MATHEMATICA SCIENTIA 38.5(2018):1591-1616.