On the instability of a three-layer atmosphere with an isentropic stratosphere

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Abstract
The linearized stability problem for a three-layer model, with an isentropic stratosphere as the uppermost layer, is studied. The model consists of soft tropopause and mid-tropospheric front. By making the tropopause rigid or by shrinking the depth of the stratosphere to zero one obtains the symmetric two-layer model. By eliminating the tropopause one obtains an asymmetric two-layer model. Both cases ? = 0 and ? ? 0 are considered for three-layer model. The structure of a growing wave and its physical interpretation are given for a three-layer model ? = 0 case. DOI: 10.1111/j.2153-3490.1972.tb01557.x

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