A nonlinear stability theorem for baroclinic quasigeostrophic flow
- 1 January 1986
- journal article
- letter
- Published by AIP Publishing in Physics of Fluids
- Vol. 29 (1) , 5-6
- https://doi.org/10.1063/1.865953
Abstract
The baroclinic quasigeostrophic equations describe the essential dynamics of large‐scale, low‐frequency atmospheric ocean flow. A nonlinear stability theorem is given based on a convexity argument of Arnold [Am. Math. Soc. Transl. 1 9, 267 (1969)], complementing a linear analysis by Blumen [J. Atmos. Sci. 2 5, 929 (1968)]. An a priori estimate bounding the growth of perturbation is derived.Keywords
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