Nonlinear Instability of Phillips Model

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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Bibliographic Details
Published in:Acta Mathematicae Applicatae Sinica 2016-07, Vol.32 (3), p.669-684
Main Authors: Wang, Rong-fang, Gao, Hong-jun
Format: Article
Language:English
Subjects:
Applications of Mathematics
Geophysics
Math Applications in Computer Science
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Stability
Theoretical
地球物理
指数增长
流体模型
线性化系统
菲利普
非线性不稳定性
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Description
Summary: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.
ISSN:0168-9673
1618-3932
DOI:10.1007/s10255-016-0594-5