周江兴,丁一汇,刘益民. 1997. 可压二维大气中三类定常基态的稳定性分析[J]. 气象学报, 55(4):385-397, doi:10.11676/qxxb1997.039 |
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 |
投稿时间:1996-04-25 修订日期:1997-01-31 |
DOI:10.11676/qxxb1997.039 |
中文关键词: 可压大气 对称稳定性 能量积分法 |
英文关键词:Compressible atmosphere Symmetry stability Energy integrate method |
基金项目:国家自然科学基金(4935061) |
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中文摘要: |
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,则基态是不稳定的. |
英文摘要: |
In this paper,discussing the stability of three classes of steady groundstate in the two-dimensional compressible adiabatic and non-dispersive at mosphere,it is exactly demonstrated that the stability of these groundstates is decided by their engine matrix +:a.the groundst at es are stable if + is positive definite in set G+Γ.b.the groundstates are unstable if + is negative definite in set G+Γ. |
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