Some remarks on planar Boussinesq equations

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	Some remarks on planar Boussinesq equations
	Cai XJ; Xue CY; Li XJ(李现今); Liu Y; Jiu QS
刊名	Acta Mathematicae Applicatae Sinica-English Series
	2012-07-01
通讯作者邮箱	caixj@th.btbu.edu.cn
卷号	28 期号:3 页码:525-534
关键词	Boussinesq equations classical solutions Schauder fixed-point theorem Navier-Stokes Equations
ISSN号	0168-9673
通讯作者	Cai, XJ
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
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
内容类型	期刊论文
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.