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Choi, Kyudong
Fluids Analysis Lab
Research Interests
  • fluid equations, mathematical biology, conservation laws,

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Growth of perimeter for vortex patches in a bulk

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Title
Growth of perimeter for vortex patches in a bulk
Author
Choi, KyudongJeong, In-Jee
Issue Date
2021-03
Publisher
PERGAMON-ELSEVIER SCIENCE LTD
Citation
APPLIED MATHEMATICS LETTERS, v.113, pp.106857
Abstract
We consider the two-dimensional incompressible Euler equations. We construct vortex patches with smooth boundary on T-2 and R-2 whose perimeter grows with time. More precisely, for any constant M > 0, we construct a vortex patch in T-2 whose smooth boundary has length of order 1 at the initial time such that the perimeter grows up to the given constant M within finite time. The construction is done by cutting a thin slit out of an almost square patch. A similar result holds for an almost round patch with a thin handle in R-2. (c) 2020 Elsevier Ltd. All rights reserved.
URI
https://scholarworks.unist.ac.kr/handle/201301/50027
URL
https://www.sciencedirect.com/science/article/pii/S0893965920304341?via%3Dihub
DOI
10.1016/j.aml.2020.106857
ISSN
0893-9659
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MTH_Journal Papers
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