Some remarks on planar Boussinesq equations
文献类型：期刊论文
| 作者 | Cai XJ; Xue CY; Li XJ(李现今) ; Liu Y; Jiu QS
|
| 刊名 | Acta Mathematicae Applicatae Sinica-English Series
 |
| 出版日期 | 2012-07-01 |
| 卷号 | 28期号:3页码:525-534 |
| 通讯作者邮箱 | caixj@th.btbu.edu.cn |
| 关键词 | Boussinesq equations classical solutions Schauder fixed-point theorem Navier-Stokes Equations |
| ISSN号 | 0168-9673 |
| 产权排序 | [Cai, Xiao-jing] Beijing Technol & Business Univ, Dept Math, Beijing 100048, Peoples R China;[Cai, Xiao-jing] Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China; [Xue, Chun-yan] Beijing Informat Sci & Technol Univ, Dept Math, Beijing 100101, Peoples R China; [Li, Xian-jin] Chinese Acad Sci, Inst Mech, Beijing 100190, Peoples R China; [Liu, Ying] Acad Armored Force Engn, Fundamental Dept, Beijing 100072, Peoples R China; [Jiu, Quan-sen] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China |
| 通讯作者 | Cai, XJ |
| 合作状况 | 国内 |
| 中文摘要 | The main purpose of this paper is to prove the well-posedness of the two-dimensional Boussinesq equations when the initial vorticity omega (0) a L (1)(R (2)) (or the finite Radon measure space). Using the stream function form of the equations and the Schauder fixed-point theorem to get the new proof of these results, we get that when the initial vorticity is smooth, there exists a unique classical solutions for the Cauchy problem of the two dimensional Boussinesq equations. |
| 学科主题 | 一般力学 |
| 分类号 | Q4 |
| 收录类别 | SCI ; CSCD |
| 资助信息 | The first author is supported by the National Natural Science Foundation of China (No. 11171229);The third author is supported by 973 program (Grant No. 2011CB711100). |
| 原文出处 | http://dx.doi.org/10.1007/s10255-012-0167-1 |
| 语种 | 英语 |
| CSCD记录号 | CSCD:4622830 |
| WOS记录号 | WOS:000305126700008 |
| 公开日期 | 2013-01-18 |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/46644]  |
| 专题 | 力学研究所_流固耦合系统力学重点实验室(2012-) |
| 推荐引用方式 GB/T 7714 | Cai XJ,Xue CY,Li XJ,et al. Some remarks on planar Boussinesq equations[J]. Acta Mathematicae Applicatae Sinica-English Series,2012,28(3):525-534. |
| APA | Cai XJ,Xue CY,Li XJ,Liu Y,&Jiu QS.(2012).Some remarks on planar Boussinesq equations.Acta Mathematicae Applicatae Sinica-English Series,28(3),525-534. |
| MLA | Cai XJ,et al."Some remarks on planar Boussinesq equations".Acta Mathematicae Applicatae Sinica-English Series 28.3(2012):525-534. |
入库方式： OAI收割
来源：力学研究所
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