A problem related to nonlinear stability criteria for multi- layer quasi-geostrophic flow |
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Authors: | Liu Yongming Mu Mu |
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Institution: | Institute of Mathematics, Anhui University, Hefei 230939,LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100080 |
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Abstract: | The second author studied the nonlinear stability of N-layer quasi-geostrophic flow subject to perturbations of parameters
and initial data, and established the stability criteria for the flow in question, which involve finding out the lowest eigenvalue
of an elliptic boundary value problem. In this paper when the domain is a periodic zonal channel, a formula of the lowest
eigenvalue is established, which is useful for further studies and practical applications.
1Supported by National Natural Science Foundation of China and LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences. |
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