We study a two-layer energy balance model, that allows for vertical exchanges between a surface layer and the atmosphere. The evolution equations of the surface temperature and the atmospheric temperature are coupled by the emission of infrared radiation by one level, that emission being partly captured by the other layer, and the effect of all non-radiative vertical exchanges of energy. The goal is to study the long time dynamics of this model, and the dependence with respect to some important parameter, in particular the absorptivity of the atmosphere.
Jérémy Heleine, David Lafontaine