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

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Infinite growth in vorticity gradient of compactly supported planar vorticity near Lamb dipole

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Title
Infinite growth in vorticity gradient of compactly supported planar vorticity near Lamb dipole
Author
Choi, KyudongJeong, In-Jee
Issue Date
2022-06
Publisher
Elsevier BV
Citation
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, v.65, pp.103470
Abstract
We prove linear in time filamentation for perturbations of the Lamb dipole, which is a traveling wave solution to the incompressible Euler equations in R2. The main ingredient is a recent nonlinear orbital stability result by Abe–Choi. As a consequence, we obtain linear in time growth for the vorticity gradient for all times, for certain smooth and compactly supported initial vorticity in R2. The construction carries over to some generalized SQG equations.
URI
https://scholarworks.unist.ac.kr/handle/201301/56988
DOI
10.1016/j.nonrwa.2021.103470
ISSN
1468-1218
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