| Some remarks on planar Boussinesq equations | |
Cai XJ; Xue CY; Li XJ(李现今) ; Liu Y; Jiu QS; Cai, XJ
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| Source Publication | Acta Mathematicae Applicatae Sinica-English Series
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| 2012-07-01 | |
| Volume | 28Issue:3Pages:525-534 |
| ISSN | 0168-9673 |
| Abstract | 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. |
| Keyword | Boussinesq Equations Classical Solutions Schauder Fixed-point Theorem Navier-stokes Equations |
| Subject Area | 一般力学 |
| URL | 查看原文 |
| Indexed By | SCI ; CSCD |
| Language | 英语 |
| WOS ID | WOS:000305126700008 |
| Funding Organization | 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). |
| CSCD ID | CSCD:4622830 |
| Classification | Q4 |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/46644 |
| Collection | 流固耦合系统力学重点实验室 |
| Corresponding Author | Cai, XJ |
| Recommended Citation 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,&Cai, XJ.(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. |
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| SCI-J2012-181.pdf（219KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View Download | |
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