Special Session 82: Dissipative Systems and Applications

On a Global Climate Model with Nonlinear Diffusion and non-monotone Coalbedo.
Lourdes Tello
Universidad Politecnica de Madrid
Spain
Co-Author(s):    
Abstract:
We study a climate model based on a global energy balance, formulated through a parabolic equation. The space domain of this equation is a manifold that simulates the Earth`s surface. The diffusion operator is nonlinear. The model includes the effect of Coalbedo, which is one of the mean temperature feedbacks. Coalbedo is modelled as a multivalued function. We extend some mathematical results proven for maximal monotone Coalbedo to cases where the Coalbedo is not monotone with respect to temperature. Furthermore, we analyse the number of steady states according to one parameter.