华东师范大学学报(自然科学版) ›› 2008, Vol. 2008 ›› Issue (1): 1-19.

• 特约综述 •    下一篇

准地转运动稳定性的数学方法

刘永明1,2   

  1. 1. 华东师范大学 地理信息科学教育部重点实验室, 上海 2000622. 华东师范大学 数学系, 上海 200241
  • 收稿日期:2007-08-21 修回日期:2007-10-26 出版日期:2008-01-25 发布日期:2008-01-25
  • 通讯作者: 刘永明

Mathematical Principle of Stability for Quasigeostrophic Motions(Chinese)

LIU Yong-ming1,2   

  1. 1. Key Laboratory of Geographic Information Sciences, Ministry of EducationEast China Normal University, Shanghai 200062, China;2. Department of Mathematics, East China Normal University, Shanghai 200241, China;
  • Received:2007-08-21 Revised:2007-10-26 Online:2008-01-25 Published:2008-01-25
  • Contact: LIU Yong-ming

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摘要： 利用变分原理得到一系列的数学物理方程中起重要作用的最佳不等式,并给出了这些不等式在准地转运动的非线性稳定性中的应用.

关键词: 变分法, 不等式, 非线性稳定性, 准地转, 变分法, 不等式, 非线性稳定性, 准地转

Abstract: Several best possible inequalities are derived by the variational principle. These inequalities play an important role in Mathematic physics. And their application to the nonlinear stability of quasigeostophic motions are given.

Key words: inequality, nonlinear stability, quasigeostrophic, variation method, inequality, nonlinear stability, quasigeostrophic

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