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THE STABILITY OF THREE CLASSES OF STEADY BASIC STATES IN THE TWO-DIMENSIONAL COMPRESSIBLE ATMOSPHERE* |
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| Authors: | Zhou Jiangxing Ding Yihui and Liu Yimin |
| Institution: | National Climate Center, Beijing 100081;National Climate Center, Beijing 100081;National Climate Center, Beijing 100081 |
| Abstract: | In this paper,the stability of three classes of steady basic states in the two-dimensional compressible adiabatic and non-dissipation atmosphere is discussed,and the following property is exactly demonstrated that the stability of these basic states is decided by their engine matrix A in two ways:(a)the basic states are stable if A is positively definite in set,and (b) the basic states are unstable if A is negatively definite in set. |
| Keywords: | compressible atmosphere symmetry stability(SS) energy integration method |
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