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An energy balance climate model with hysteresis


Díaz Díaz, Jesús Ildefonso and Hetzer, G. and Tello del Castillo, Lourdes (2006) An energy balance climate model with hysteresis. Nonlinear analysis : theory, methods and applications, 64 (9). pp. 2053-2074. ISSN 0362-546X

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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.

Item Type:Article
Uncontrolled Keywords:equations
Subjects:Sciences > Mathematics > Differential equations
ID Code:15405

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