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Some remarks on planar Boussinesq equations
Cai XJ; Xue CY; Li XJ(李现今); Liu Y; Jiu QS; Cai, XJ
Source PublicationActa Mathematicae Applicatae Sinica-English Series
AbstractThe 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.
KeywordBoussinesq Equations Classical Solutions Schauder Fixed-point Theorem Navier-stokes Equations
Subject Area一般力学
Indexed BySCI ; CSCD
WOS IDWOS:000305126700008
Funding OrganizationThe 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).
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Document Type期刊论文
Corresponding AuthorCai, 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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