Memorias de investigación
Research Publications in journals:
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
Year:2014

Research Areas
  • Mathematics,
  • Phisics,
  • Engineering

Information
Abstract
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 (EBMs). The numerical method applied to the model is based on a finite volume scheme with nonlinear WENO reconstruction and Runge-Kutta TVD for time integration.
International
Si
JCR
Si
Title
Proceedings of the Royal Society a-Mathematical Physical And Engineering Sciences
ISBN
1364-5021
Impact factor JCR
1,998
Impact info
Volume
470
10.1098/rspa.2014.0376
Journal number
2170
From page
0
To page
20
Month
SIN MES
Ranking
Participants

Research Group, Departaments and Institutes related
  • Creador: Departamento: Matemática Aplicada