%0 Journal Article
%A Díaz Díaz, Jesús Ildefonso
%A Hetzer, G.
%A Tello del Castillo, Lourdes
%T An energy balance climate model with hysteresis
%D 2006
%@ 0362-546X
%U https://hdl.handle.net/20.500.14352/49964
%X Energy balance climate models of Budyko type lead to reaction-diffusion equations with slow diffusion and memory on the 2-sphere. The reaction part exhibits a jump discontinuity (at the snow line). Here we introduce a Babuska-Duhem hysteresis in order to account for a frequent repetition of sudden and fast warming followed by much slower cooling as observed from paleoclimate proxy data. Existence of global solutions and of a trajectory attractor will be established for the resulting system of a parabolic differential inclusion and an ode.
%~