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 inActa Mathematicae Applicatae Sinica Vol. 32; no. 3; pp. 669 - 684
Main Authors Wang, Rong-fang, Gao, Hong-jun
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2016
Springer Nature B.V
EditionEnglish series
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
Phillips model
76E20
35B35
nonlinear instability
Lyapunov exponent
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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.
Bibliography:nonlinear instability; Lyapunov exponent; Phillips model
11-2041/O1
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