RT Journal Article
T1 An energy balance climate model with hysteresis
A1 Díaz Díaz, Jesús Ildefonso
A1 Hetzer, G.
A1 Tello del Castillo, Lourdes
AB 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.
PB Pergamon-Elsevier Science
SN 0362-546X
YR 2006
FD 2006-05-01
LK https://hdl.handle.net/20.500.14352/49964
UL https://hdl.handle.net/20.500.14352/49964
LA eng
NO Department of Applied Mathematics of Complutense University of Madrid
NO Secretaria de Estado de Educación y Universidades, Spain.
DS Docta Complutense
RD 13 abr 2025