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Challenges of climate modeling

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  • Climate models solve the equations for the conservation of momentum, mass and energy in the atmosphere and oceans, the equations of state for air and for sea water, as well as equations for energy and water exchange with the land and cryosphere. This paper reviews the basis of climate models, and illustrates the application of a new generation of climate models to predict the co-evolution of atmospheric $CO_2$ and climate.
    Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C35.

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