Bifurcations and instabilities in rotating, two-layer fluids: II. β-plane
In this paper, we show that the behavior of weakly nonlinear waves in a 2-layer model of baroclinic instability on a <font face='Symbol'>b</font>-plane with varying viscosity is determined by a single, degenerate codimension three bifurcation. In the process, we show how pr...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Copernicus Publications
2002-01-01
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| Series: | Nonlinear Processes in Geophysics |
| Online Access: | http://www.nonlin-processes-geophys.net/9/289/2002/npg-9-289-2002.pdf |
| Summary: | In this paper, we show that the behavior of weakly nonlinear waves in a 2-layer model of baroclinic instability on a <font face='Symbol'>b</font>-plane with varying viscosity is determined by a single, degenerate codimension three bifurcation. In the process, we show how previous studies, using the method of multiple scales to derive evolution equations for the slowly varying amplitude of the growing wave, arise as special limits of the general evolution description. |
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| ISSN: | 1023-5809 1607-7946 |