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Nonlinear instability of Phillips model

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Abstract

We investigate the instability of two-layer Phillips model in this paper, which is a prototypical geophysical fluid model. Using the results of Guo and Strauss et al, we obtained linear instability implies nonlinear instability provided the linearized system has an exponentially growing solution.

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Correspondence to Hong-jun Gao.

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Supported by the National Natural Science Foundation of China (No. 10871097) and National Basic Research Program of China (973 Program) (No. 2013CB834100).

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Wang, Rf., Gao, Hj. Nonlinear instability of Phillips model. Acta Math. Appl. Sin. Engl. Ser. 32, 669–684 (2016). https://doi.org/10.1007/s10255-016-0594-5

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  • DOI: https://doi.org/10.1007/s10255-016-0594-5

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