Bifurcations and instabilities in rotating, two-layer fluids: II. beta-plane
NONLINEAR PROC GEOPH 9:3-4 (2002) 289-309
Abstract:
In this paper, we show that the behavior of weakly nonlinear waves in a 2-layer model of baroclinic instability on a P-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.Modeling the Martian dust cycle - 2. Multiannual radiatively active dust transport simulations
JOURNAL OF GEOPHYSICAL RESEARCH-PLANETS 107:E12 (2002) ARTN 5124
Bifurcations and instabilities in rotating two-layer fluids: I. f-plane
Nonlinear Processes in Geophysics 8:1-2 (2001) 21-36
Abstract:
In this paper, we show that the behaviour of weakly nonlinear waves in a 2-layer model of baroclinic instability on an f-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. A companion study will extend the results to a β-plane.Achievements and directions in nonlinear geophysics - Editorial
NONLINEAR PROCESSES IN GEOPHYSICS 8:4-5 (2001) 191-192