Numerical Bifurcation Analysis For Advective-Diffusive Equations In Climate Modelling

Abstract

The earth's climate system is a highly complex, interconnected system formed by the atmosphere, land surface, ocean and snow together with all living organisms and powered by the solar radiation. Mathematical models have been developed to model the complex processes within the climate system which include radiative, convective, advective and di usive processes. This models range from simple models to complex models and they require tools to generate the relevant information needed to understand the phenomenon behind them. Therefore some of the tools used to study these model equations include linear stability analysis and other dynamical system methods like the numerical continuation method which we will use here to study bifurcation for the advective-di usive models.