可压二维大气中三类定常基态的稳定性分析  

THE STABILITY OF THREE CLASSES OF STEADY GROUND STATE IN THE TWO DIMENSIONAL ATMOSPHER

作　　者：周江兴[1] 丁一汇[1] 刘益民[1] 

机构地区：[1]国家气候中心开放实验室

出　　处：《气象学报》1997年第4期385-397,共13页Acta Meteorologica Sinica

基　　金：国家自然科学基金

摘　　要：本文讨论了可压、绝热、无耗散的二维大气中三类定常基态的稳定性问题，并严格证明了这三类定常基态的稳定性性质是由基态的特征矩阵Λ的性质所决定的：ａ．若Λ在域Ｇ＋Γ内处处为正定矩阵，则基态是稳定的；ｂ．若Λ在域Ｇ＋Γ内非处处为半正定矩阵。In this paper, discussing the stability of three classes of steady groundstate in the two dimensional compressible adiabatic and non dispersive atmosphere , it is exactly demonstrated that the stability of these groundstates is decided by their engine matrix Λ: a. the groundstates are stable if Λ is positive definite in set G+Γ. b. the groundstates are unstable if Λ is negative definite in set G+Γ.

关 键 词：可压大气 对称稳定性 能量积分法 定常基态 大气 

分 类 号：P433[天文地球—大气科学及气象学]