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FIELD Math:Analysis
DATE September 01 (Wed), 2021
TIME 16:00-17:30
PLACE Online
SPEAKER Jeong, In-Jee
HOST Kang, Nam-Gyu
INSTITUTE 서울대학교
TITLE Existence, stability, and instability of 2D vortex equilibria
ABSTRACT

Persistence of large scale vortex structures in two-dimensional flows strongly suggest their stability. We look at some sources of dynamical stability: conservation laws, variational principles, and incompressibility. Furthermore, variational methods can be applied to produce non-trivial steady or traveling-wave solutions. Lastly, we discuss how stability can be used to prove instability, or small scale creation, for perturbations.

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