Friday, Dec 2, 2016 - 3:30pm - Allen 14
Analytical analysis and computer simulations of a thermohaline circulation model
Dr. Zhenbu Zhang, Mathematics & Statistics, Jackson State University
Title: Analytical analysis and computer simulations of a thermohaline circulation model
Abstract: Thermohaline circulation (THC) is a part of the large-scale ocean circulation that is driven by global density gradients created by surface heat and freshwater fluxes. The THC plays a major role in maintaining the Earth's overall energy balance, so a change of the circulation pattern will have a dramatic impact on the global climate. In this talk, we will go over a conceptual thermohaline circulation model which is used to study the overturning circulation in the North Atlantic Ocean. We will cover the background of the model, the statement of the model, the reduction of the model, the qualitative analysis including equilibrium points and their stability, bifurcation analysis and computer simulations of the model. Since there are several parameters in the model, we will have a look at the different values of the parameters to investigate the long time behavior of the solutions of the model analytically and numerically.