华东师范大学学报（自然科学版）Issue(3)：23-30,8.
三维球坐标准地转流的非线性稳定性
Nonlinear Stability of Threee-Dimensional Quasi-Geostrophic Motions in Spherical Geometry
摘要
Abstract
A nonlinear stability theorem was established for three-dimensional quasi-geostrophic motions in spherical geometry by establishing an optimal Poincaré inequality. The inequality was derived by variational principle. The result was shown better than the known results. Moreover, explicit upper bounds for the disturbance energy, the disturbance potential enstrophy, and the disturbance boundary energy on the rigid lids were also established.关键词
非线性稳定性/准地转流/球坐标/Poincaré不等式Key words
nonlinear stability/quasi-geostrophic motion/spherical geometry/Poincaré inequality分类
数理科学引用本文复制引用
蔡景景,刘永明..三维球坐标准地转流的非线性稳定性[J].华东师范大学学报（自然科学版）,2007,(3):23-30,8.基金项目
地理信息科学教育部重点实验室开放研究基金 （）
