Topics in the Mathematical Analysis of Vortex Dynamics

開催日時: 
2014/10/07 Tue 15:00 - 18:00
2014/10/28 Tue 15:00 - 18:00
2014/11/17 Mon 15:00 - 18:00
2014/11/25 Tue 15:00 - 18:00
2014/12/11 Thu 15:00 - 18:00
場所: 
3号館108号室
講演者: 
Robert Krasny
講演者所属: 
Kyoto University / University of Michigan
概要: 

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.

*本講義はSGU数学特別講義(流体数学)として大学院の学生には1単位認定されます。