Some remarks on planar Boussinesq equations | |
Cai XJ; Xue CY; Li XJ(李现今); Liu Y; Jiu QS; Cai, XJ | |
发表期刊 | Acta Mathematicae Applicatae Sinica-English Series |
2012-07-01 | |
卷号 | 28期号:3页码:525-534 |
ISSN | 0168-9673 |
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. |
关键词 | Boussinesq Equations Classical Solutions Schauder Fixed-point Theorem Navier-stokes Equations |
学科领域 | 一般力学 |
URL | 查看原文 |
收录类别 | SCI ; CSCD |
语种 | 英语 |
WOS记录号 | WOS:000305126700008 |
项目资助者 | 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记录号 | CSCD:4622830 |
论文分区 | Q4 |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://dspace.imech.ac.cn/handle/311007/46644 |
专题 | 流固耦合系统力学重点实验室 |
通讯作者 | Cai, XJ |
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,&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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