HOLDER CONTINUOUS SOLUTIONS OF BOUSSINESQ EQUATIONS
文献类型：期刊论文
| 作者 | Tao, Tao1,2; Zhang, Liqun3,4
|
| 刊名 | ACTA MATHEMATICA SCIENTIA
 |
| 出版日期 | 2018-09-01 |
| 卷号 | 38期号:5页码:1591-1616 |
| 关键词 | Boussinesq equations Holder continuous solutions prescribed kinetic energy |
| ISSN号 | 0252-9602 |
| 英文摘要 | 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]. |
| 资助项目 | NSFC[11471320] ; NSFC[11631008] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000446808900009 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/31414]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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