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HOLDER CONTINUOUS SOLUTIONS OF BOUSSINESQ EQUATIONS
Tao, Tao1,2; Zhang, Liqun3,4
2018-09-01
Source PublicationACTA MATHEMATICA SCIENTIA
ISSN0252-9602
Volume38Issue:5Pages:1591-1616
AbstractWe 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].
KeywordBoussinesq equations Holder continuous solutions prescribed kinetic energy
Language英语
Funding ProjectNSFC[11471320] ; NSFC[11631008]
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000446808900009
PublisherELSEVIER SCIENCE INC
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/31415
Collection数学所
Affiliation1.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
Recommended Citation
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.
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