Tuesday, May 20, 2014, 04:00pm
May 20th: “Spatially Localized Structures: Applications”
Abstract: In the second lecture I will use the understanding developed in lecture 1 to explore the properties of three different physical systems in both two and three dimensions:(i) binary fluid convection, (ii) convection in a rotating layer, and (iii) crystallization of a supercooled liquid. In each case I will describe the results of numerical studies of the governingequations and interpret them in terms of the properties of appropriate Swift-Hohenberg-like models. I will also explain why it is that these models are so successful at explaining the properties of localized states in much more complex systems.