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Relationship between the magnitude of singular value and nonlinear stability |
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| Institution: | 1. LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China; 2. LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China 3. Joint Center for Earth System Technology, University of Maryland, USA |
| Abstract: | The relationship between the magnitude of singular value and nonlinear stability or instability of the basic flow is investigated. The results show that there is a good corresponding relationship between them. The magnitude of singular value decreases as the stability (or instability) of the basic flow increases (or decreases). In the stable case, the magnitude of the maximum singular value is much smaller than in the unstable case. |
| Keywords: | singular value nonlinear stability nonlinear instability |
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