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최규동

Choi, Kyudong
Fluids Analysis Lab.
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On the Growth of the Support of Positive Vorticity for 2D Euler Equation in an Infinite Cylinder

Author(s)
Choi, KyudongDenisov, Sergey
Issued Date
2019-05
DOI
10.1007/s00220-019-03295-w
URI
https://scholarworks.unist.ac.kr/handle/201301/26449
Fulltext
https://link.springer.com/article/10.1007%2Fs00220-019-03295-w
Citation
COMMUNICATIONS IN MATHEMATICAL PHYSICS, v.367, no.3, pp.1077 - 1093
Abstract
We consider the incompressible 2D Euler equation in an infinite cylinder R× T in the case when the initial vorticity is non-negative, bounded, and compactly supported. We study d(t), the diameter of the support of vorticity, and prove that it allows the following bound: d(t) ⩽ Ct1 / 3log 2t when t→ ∞.
Publisher
Springer New York LLC
ISSN
0010-3616

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