We present some results on the mathematical treatment of a global two-dimensional
diffusive climate model. The model is based on a long time averaged energy balance and …

We study stability of the nonnegative solutions of a discontinuous elliptic eigenvalue
problem relevant in several applications as for instance in climate modeling. After giving the …

Climate models have different characteristics than weather prediction models: the time scale
is completely different (centuries versus days or weaks) and their main goal is also …

The purpose of this paper is to carry out the mathematical and numerical analysis of a two-
dimensional nonlinear parabolic problem on a compact Riemannian manifold without …

We consider a simplified version of the Budyko diffusive energy balance climate model. We
obtain the exact number of monotone stationary solutions of the associated discontinuous …

This paper contains an expanded and updated version of my lecture at the Collège de
France, on May 1997, where I collected several results on a diffusive energy balance model …

In 1955, John von Neumann wrote: Probably intervention in atmospheric and climate
matters will come in a Oew decades, and will unOold on a scale di" cult to imagine at …

We study the dynamics and regularity of level sets in solutions of the semilinear parabolic
equation u_ t-Δ\, u ∈ a\, H (u-μ)\rm in\quad Q=\it Ω * (0, T, where Ω ⊂ R^ n is a ring-shaped …

In this work we consider a model including the coupling surface/deep ocean first proposed
in [20]. It is a diagnostic model which can be used to understand the long-term climate …

We present a finite element algorithm of a climate diagnostic model that takes as a climate
indicator the atmospheric sea-level temperature. This model belongs to the category of …