RT Journal Article
T1 Multiple solutions and numerical analysis to the dynamic and stationary models coupling a delayed energy balance model involving latent heat and discontinuous albedo with a deep ocean
A1 Díaz Díaz, Jesús Ildefonso
A1 Hidalgo, A.
A1 Tello, L.
AB We study a climatologically important interaction of two of the main components of the geophysical system by adding an energy balance model for the averaged atmospheric temperature as dynamic boundary condition to a diagnostic ocean model having an additional spatial dimension. In this work, we give deeper insight than previous papers in the literature, mainly with respect to the 1990 pioneering model by Watts and Morantine. We are taking into consideration the latent heat for the two phase ocean as well as a possible delayed term. Non-uniqueness for the initial boundary value problem, uniqueness under a non-degeneracy condition and the existence of multiple stationary solutions are proved here. These multiplicity results suggest that an S-shaped bifurcation diagram should be expected to occur in this class of models generalizing previous energy balance models. The numerical method applied to the model is based on a finite volume scheme with nonlinear weighted essentially non-oscillatory reconstruction and Runge–Kutta total variation diminishing for time integration.
PB The Royal Society
SN 1471-2946
YR 2014
FD 2014
LK https://hdl.handle.net/20.500.14352/33897
UL https://hdl.handle.net/20.500.14352/33897
LA eng
NO Unión Europea. FP7
NO DGISPI, Spain
NO UCM
DS Docta Complutense
RD 6 abr 2025