Abstract
On the basis of the nonlinear stability theorem in the context of Arnol' d' s second theorem for the generalized Phillips model, nonlinear saturation of baroclinic instability in the generalized Phillips model is investigated. The lower bound on the disturbance energy and potential enstrophy to the nonlinearly unstable basic flow in the generalized Phillips model is presented, which indicates that there may exist an allocation between a nonlinearly unstable basic flow and a growing disturbance.
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Communicated by DAI Shi-qiang
Foundation item: the National Natural Science Foundation of China (40075014)
Biography: ZHANG Gui (1973-), Doctor
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Gui, Z., Jie, X. Nonlinear saturation of baroclinic instability in the generalized Phillips model (II)—The lower bound on the disturbance energy and potential enstrophy to the nonlinearly unstable basic flow. Appl Math Mech 23, 1339–1347 (2002). https://doi.org/10.1007/BF02439465
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DOI: https://doi.org/10.1007/BF02439465