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On the asymptotic behaviour of solutions of a stochastic energy balance climate model


Díaz Díaz, Jesús Ildefonso and Langa, José A. and Valero , José (2009) On the asymptotic behaviour of solutions of a stochastic energy balance climate model. Physica D-Nonlinear Phenomena, 238 (9-10). pp. 880-887. ISSN 0167-2789

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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).

Item Type:Article
Uncontrolled Keywords:partial-differential equations; random dynamical-systems; stationary solutions; attractors; inclusions; climatology model; random global attractor; pullback attractor; stochastic partial differential equation
Subjects:Sciences > Mathematics > Differential equations
ID Code:15115

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