SGU Special lectures by Prof. Robert Krasny (Kyoto / University of Michigan) will take place as follows:

Date

Tuesday, October 7
Tuesday, October 28
Monday, November 17
Tuesday, November 25
Thursday, December 11
*All lectures will take place 15:00-18:00.

Venue

108 Lecture room, Faculty of Science Bldg. #3, Kyoto University

Title

Topics in the Mathematical Analysis of Vortex Dynamics

Abstract

After introducing the incompressible fluid equations, we present the following topics in the mathematical analysis of vortex dynamics,

(1) asymptotic analysis of singularity formation in an evolving vortex sheet (Moore 1979),
(2) dynamical systems analysis of transport, mixing, and chaos in the flow of an oscillating vortex pair (Rom-Kedar, Leonard, and Wiggins 1990).

Since these lectures are intended for students with diverse backgrounds in math and science, we present some background material, warm-up examples, and experimental results to motivate the interest in vortex dynamics. We also discuss related computations using vortex particle methods.

Language

English