Speaker Institution : Kyoto University of Education
Title : Topological methods for analyzing two dimensional flows
Abstract: We introduce tree representations of two dimensional flows. Applying the topological methods to an evolution of an incompressible and viscid flow around an inclined flat plate placed in a uniform flow, we can estimate when the lift-to-drag ratios of the plate are maximal and can determine transient streamline patterns between structurally stable streamline patterns. Moreover, we state the possibilities of analyzing ocean phenomena and medical phenomena. Finally, we discuss low-dimensional dynamical systems which are theoretical backgrounds of the methods.