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A stability theorem for energy-balance climate models (1979)

North, G. R. ; Cahalan, R. F.

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Publication Date: 2011-08-17

Description: The paper treats the stability of steady-state solutions of some simple, latitude-dependent, energy-balance climate models. For north-south symmetric solutions of models with an ice-cap-type albedo feedback, and for the sum of horizontal transport and infrared radiation given by a linear operator, it is possible to prove a 'slope stability' theorem, i.e., if the local slope of the steady-state iceline latitude versus solar constant curve is positive (negative) the steady-state solution is stable (unstable). Certain rather weak restrictions on the albedo function and on the heat transport are required for the proof, and their physical basis is discussed.

Keywords: METEOROLOGY AND CLIMATOLOGY

Type: Journal of the Atmospheric Sciences; 36; July 197

Format: text

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