%0 Journal Article
%A Díaz Díaz, Jesús Ildefonso
%A Langa, José A.
%A Valero, José
%T On the asymptotic behaviour of solutions of a stochastic energy balance climate model
%D 2009
%@ 0167-2789
%U https://hdl.handle.net/20.500.14352/42164
%X We prove the existence of a random global attractor for the multivalued random dynamical system associated to a nonlinear multivalued parabolic equation with a stochastic term of amplitude of the order of F. The equation was initially suggested by North and Cahalan (following a previous deterministic model proposed by M.I. Budyko), for the modeling of some non-deterministic variability (as, for instance, the cyclones which can be treated as a fast varying component and are represented as a white-noise process) in the context of energy balance climate models. We also prove the convergence (in some sense) of the global attractors, when epsilon -> 0, i.e., the convergence to the global attractor for the associated deterministic case (epsilon = 0).
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