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A new integral property of inertial waves in rotating fluid spheres

文献类型：期刊论文

作者Liao, Xinhao2; Zhang, Keke1
刊名PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
出版日期2009-04-08
卷号465期号:2104页码:1075-1091
关键词rotating spheres inertial waves Poincare polynomials
英文摘要The problem of fluid motion in the form of inertial waves in an incompressible inviscid fluid contained in a rotating sphere is governed by the Poincare equation, a second-order hyperbolic partial differential equation. Its explicit general analytical solution in terms of a double Poincare polynomial was found by Zhang et al. (Zhang et al. 2001 J. Fluid Mech. 437, 103 119), describing the pressure p(mnK) and the velocity u(mnK) of spherical inertial waves, where the triple indices (mnK) are indicative of the azimuthal, vertical and radial structures, respectively. On the basis of the general explicit solution, we reveal a new intriguing integral property of the spherical inertial waves
WOS标题词Science & Technology
类目[WOS]Multidisciplinary Sciences
研究领域[WOS]Science & Technology - Other Topics
关键词[WOS]SPHERICAL-SHELL ; POINCARE EQUATION ; CYLINDER ; ATTRACTORS ; CONVECTION ; MODES ; CORE
收录类别SCI
语种英语
WOS记录号WOS:000264371600005
公开日期2010-07-30
源URL[http://119.78.226.72//handle/331011/10632]  
专题上海天文台_天文地球动力学研究中心
作者单位1.Univ Exeter, Dept Math Sci, Exeter EX4 4QE, Devon, England
2.Chinese Acad Sci, Shanghai Astron Observ, Shanghai 200030, Peoples R China
推荐引用方式
GB/T 7714		 Liao, Xinhao,Zhang, Keke. A new integral property of inertial waves in rotating fluid spheres[J]. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES,2009,465(2104):1075-1091.
APA Liao, Xinhao,&Zhang, Keke.(2009).A new integral property of inertial waves in rotating fluid spheres.PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES,465(2104),1075-1091.
MLA Liao, Xinhao,et al."A new integral property of inertial waves in rotating fluid spheres".PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES 465.2104(2009):1075-1091.

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来源：上海天文台

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