Topics in Mathematical Modeling by Tung K. K.;

Author:Tung, K. K.;
Language: eng
Format: epub, pdf
Publisher: Princeton University Press
Published: 2015-02-02T00:00:00+00:00

The Stability of the Ice-Free and Ice-Covered Globes

Examining the equilibrium diagram in Figure 8.4, we see that both the ice-free globe and the ice-covered globe correspond to stable equilibria. One can also show explicitly, by differentiating (8.8) with respect to Q, that

for either the ice-free case (i = 1) or the ice-covered case (i = 2), thus satisfying the condition for stability. Note that this stability condition is independent of many factors affecting the current climate and independent of C, hence independent of our parameterization of dynamical transport, the weakest part of the model.

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