Articles | Volume 8, issue 1/2
Nonlin. Processes Geophys., 8, 21–36, 2001
https://doi.org/10.5194/npg-8-21-2001
Nonlin. Processes Geophys., 8, 21–36, 2001
https://doi.org/10.5194/npg-8-21-2001

  30 Apr 2001

30 Apr 2001

Bifurcations and instabilities in rotating two-layer fluids: I.f-plane

A. F. Lovegrove1,*, I. M. Moroz2, and P. L. Read1 A. F. Lovegrove et al.
  • 1Atmospheric, Oceanic & Planetary Physics, University of Oxford, United Kingdom
  • 2Mathematical Institute, University of Oxford, United Kingdom
  • *Present address: Smiths System Engineering, Guildford, UK

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.