On a climate model with a dynamic nonlinear diffusive boundary condition

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June 2008, 1(2): 253-262. doi: 10.3934/dcdss.2008.1.253

On a climate model with a dynamic nonlinear diffusive boundary condition

Jesús Ildefonso Díaz ^1, and L. Tello ^2,

1.	Departamento de Matemática Aplicada, Facultad de Matemáticas, Universidad Complutense de Madrid, 28040 Madrid, Spain
2.	Dept. Matemática Aplicada, ETS. Arquitectura. Univ. Politécnica de Madrid, Av. Juan de Herrera, 4, 28040 Madrid, Spain

Received September 2006 Revised May 2007 Published March 2008

Abstract
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This work studies the sensitivity of a global climate model with deep ocean effect to the variations of a Solar parameter $Q$. The model incorporates a dynamic and diffusive boundary condition. We study the number of stationary solutions according to the positive parameter $Q$.

Keywords: diffusive boundary condition, comparison principle., p-laplacian, Climate atmosphere - ocean model, upper and lower solutions.

Mathematics Subject Classification: 35J60, 35R70, 74G3.

Citation: Jesús Ildefonso Díaz, L. Tello. On a climate model with a dynamic nonlinear diffusive boundary condition. Discrete & Continuous Dynamical Systems - S, 2008, 1 (2) : 253-262. doi: 10.3934/dcdss.2008.1.253

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