Finite-Amplitude Baroclinic Waves with Small Dissipation
- 1 May 1971
- journal article
- Published by American Meteorological Society in Journal of the Atmospheric Sciences
- Vol. 28 (4) , 587-597
- https://doi.org/10.1175/1520-0469(1971)028<0587:fabwws>2.0.co;2
Abstract
A study of finite-amplitude baroclinic instability for a two-layer system with small but non-zero dissipation is presented. The presence of dissipation, however slight, allows the existence of steady finite-amplitude wave solutions. For sufficiently small friction, however, the steady wave may be unstable if a certain criterion, presented in this paper, is satisfied. Calculations indicate that in such cases a continuous, slow, periodic amplitude pulsation exists which is independent of the initial conditions. Abstract A study of finite-amplitude baroclinic instability for a two-layer system with small but non-zero dissipation is presented. The presence of dissipation, however slight, allows the existence of steady finite-amplitude wave solutions. For sufficiently small friction, however, the steady wave may be unstable if a certain criterion, presented in this paper, is satisfied. Calculations indicate that in such cases a continuous, slow, periodic amplitude pulsation exists which is independent of the initial conditions.Keywords
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