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Seminar
FIELD Math:Analysis
DATE August 31 (Tue), 2021
TIME 16:00-17:30
PLACE Online
SPEAKER Jeong, In-Jee
HOST Kang, Nam-Gyu
INSTITUTE 서울대학교
TITLE Point vortex motion in two-dimensional fluids
ABSTRACT

A drastic simplification of the two-dimensional incompressible fluid motion is provided by the point vortex dynamics. In this viewpoint, the vorticity of the fluid is given by a finite number of dirac deltas with different strengths. Then the dynamics is given explicitly by a system of ODEs governing the location of the point vortices. Some interesting long-time dynamics can be seen even in the completely integrable cases. We then present some classical results connecting point vortex dynamics with actual solutions of the incompressible fluid equation.

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