Abstract
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 $Q$.
Highlights
We are concerned with a two dimensional climate model which models the coupling mean surface temperature with ocean temperature
Watts and Morantine [23] proposed a model consisting of an equation of parabolic type in a global ocean with a dynamic and diffusive nonlinear boundary condition
This boundary condition is obtained through a global energy balance for the atmosphere surface temperature
Summary
We are concerned with a two dimensional climate model (latitude – depth) which models the coupling mean surface temperature with ocean temperature. Watts and Morantine [23] proposed a model consisting of an equation of parabolic type in a global ocean with a dynamic and diffusive nonlinear boundary condition. This boundary condition is obtained through a global energy balance for the atmosphere surface temperature. The goal of this work is to study the stationary solutions of the model including the coupling surface / deep ocean, with the diffusion at the top boundary proposed by Stone and coalbedo feedback of Budyko and Sellers type. Stone [22] proposed a nonlinear diffusion considering the eddy fluxes in a more realistic way (diffusion coefficient must be dependent on the temperature gradient)
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