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Choi, Kyudong
Fluids Analysis Lab
Research Interests
  • Fluid equations, navier-stokes, euler equations, mathematical analysis

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On the estimate of distance traveled by a particle in a disk-like vortex patch

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Title
On the estimate of distance traveled by a particle in a disk-like vortex patch
Author
Choi, Kyudong
Issue Date
2019-11
Publisher
PERGAMON-ELSEVIER SCIENCE LTD
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.
URI
https://scholarworks.unist.ac.kr/handle/201301/26697
URL
https://www.sciencedirect.com/science/article/pii/S0893965919302058
DOI
10.1016/j.aml.2019.05.020
ISSN
0893-9659
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SNS_Journal Papers
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