Oral: Analysis and computational study of the convective non equilibrium fluids.

The study of systems far from equilibrium have been a very intriguing field of interest for many researchers. We present the study of some advective systems like Swift Hohenberg, Allen Cahn and Cahn Hilliard systems numerically and the evolution of interesting patterns have been analyzed. The possibility of fractal like structure has also been studied under specific conditions. A comparison is made with respect to their characteristic behaviors. It has been observed through numerical simulation that the systems exhibiting such behaviors are dependant upon the nonlinear terms. Some examples have been run and analogy has been made between the models. The inclusion of the convective term in those models leads to more complex structures and patters that evolve differently thereby leads to different dynamics than the one without advection. Such systems can be relevant in Fluid dynamics, material science and other such field.