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- Choi, Kyudong
- Fluids Analysis Lab.
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On the estimate of distance traveled by a particle in a disk-like vortex patch
- Author(s)
- Choi, Kyudong
- Issued Date
- 2019-11
- Citation
- APPLIED MATHEMATICS LETTERS, v.97, pp.67 - 72
- Abstract
- We consider the incompressible Euler equation in the plane in the case when its initial vorticity is the characteristic function of a bounded open set. We show that the travel distance grows linearly for most of fluid particles initially placed on the set when the area of the symmetric difference between the set and a disk is small enough.
- Publisher
- PERGAMON-ELSEVIER SCIENCE LTD
- ISSN
- 0893-9659
- Keyword (Author)
- Two-dimensional Euler, Vortex patch, Large time behavior, Travel distance, Particle trajectory
- Keyword
- 2D EULER EQUATION, NONLINEAR STABILITY, VORTICITY, REGULARITY, SUPPORT, GROWTH, BOUNDS
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