A Remark on Nonlinear Stability of Three-dimensional Quasigeostrophic Motions

查看全文 作　　者：[1]穆穆;Jacques [2]Simon 机构地区：[1]LASG, Institute of Atmospheric Physics. Academia Sinica, Beijing 100080 PRC;[2]Mathématiques 出　　处：《Chinese Science Bulletin》索引1993年第38卷第23期,共7页 基　　金：Project supported by the National Natural Science Foundation of China ; the French-Chinese Cooperation Programme 摘　　要：For three-dimensional quasigeostrophic motion, Mu and Wang first established a nonlinear stability criterion analogous to Arnold’s second theorem when the horizontal domain at each depth is a bounded domain on a beta-plane, and to verify it, one needs only to find out the least eigenvalue of a boundary value problem for the 2-D Laplacian. By more accurate estimate and more detailed analysis, this note establishes a new 关 键 词：THREE-DIMENSIONAL quasigeostrophic MOTION NONLINEAR stability.