Numerical and analytical study of an atherosclerosis inflammatory disease model

A Hidalgo, L Tello, EF Toro - Journal of Mathematical Biology, 2014 - Springer
We study a reaction–diffusion mathematical model for the evolution of atherosclerosis as an
inflammation process by combining analytical tools with computer-intensive numerical …

Multiple solutions and numerical analysis to the dynamic and stationary models coupling a delayed energy balance model involving latent heat and discontinuous …

JI Díaz, A Hidalgo, L Tello - Proceedings of the Royal …, 2014 - royalsocietypublishing.org
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 …

Numerical approach of the equilibrium solutions of a global climate model

A Hidalgo, L Tello - Mathematics, 2020 - mdpi.com
We consider a coupled model surface-deep ocean effect, where an Energy Balance Model
(EBM) is used for modelling the surface temperature and a two-dimensional heat equation …

On a climatological energy balance model with continents distribution

A Hidalgo, L Tello - Discrete and Continuous Dynamical Systems, 2014 - aimsciences.org
We present some results on the mathematical treatment of a global two-dimensional
diffusive climate model with land-sea distribution. The model is based on a long time …

An ADER-LSTDG Scheme for the Numerical Simulation of a Global Climate Model

A Hidalgo, L Tello - Numerical Fluid Dynamics: Methods and …, 2022 - Springer
In this work we obtain the numerical solution of a coupled ocean-atmosphere model of
interest in climate applications. The methodology followed makes use of a finite volume …

[PDF][PDF] Mathematical Treatment of a climatological model with deep ocean effect

L Tello - mat.ucm.es
This poster is a review of some results obtained in collaboration with JI Dıaz in the last years.
We have studied the existence and multiplicity of solutions to several transient and equilibria …

Influence of the continentality on a global climate energy balance model

L Tello - International Conference of Numerical Analysis and …, 2018 - ui.adsabs.harvard.edu
We study a climate energy balance model with continents distribution. We are concerned
with the number of the steady states. The space scales are relatively large. The space …

[PDF][PDF] International Workshop on Recent Advances in Evolution Equations and Applications Dedicated to Dr. Georg Hetzer on the Occasion of his Upcoming 70th …

H Bessaih, T Caraballo, MJG Atienza, J Goddard… - 2016 - auburn.edu
In this talk we will show several methods to analyze the long time behaviour of solutions to
2D Navier-Stokes models when some hereditary characteristics (constant, distributed or …

On a global climate energy balance model with dynamic and diffusive boundary conditions

L Tello - pcmap.unizar.es
On a global climate energy balance model with dynamic and diffusive boundary conditions
Page 1 Thirteenth International Conference Zaragoza-Pau on Mathematics and its Applications …

A numerical approximation for a climatological model with dynamic and diffusive boundary condition

A Hidalgo, L Tello - Numerical Methods for Hyperbolic Equations, 2012 - books.google.com
In this work we compute the numerical solution of a global climate model including deep
ocean effect. The model is based on that proposed by Watts and Morantine in (Watts & …