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Long-wave instability of an isolated front
Authors:Peter D Killworth
Institution:Department of Applied Mathematics and Theoretical Physics , University of Cambridge , Silver Street, Cambridge, CB3 9EW, U.K.
Abstract:Abstract

The stability of an isolated one-layer reduced gravity front is examined. It is shown that the system is unstable to long-wave disturbances provided merely that a simple condition on the depth profile is satisfied far from the front. The instability does not require the extremum of potential vorticity needed by quasi-geostrophic theory. The instability releases mean kinetic and mean potential energy from the system, but lacking a second layer cannot truly be termed baroclinic instability.
Keywords:Accretion disk  Schwarzschild criterion  turbulence  
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