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arXiv · 1804.00081

On the growth of the support of positive vorticity for 2D Euler equation in an infinite cylinder

Kyudong Choi·Sergey Denisov
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Abstract

We consider the incompressible 2D Euler equation in an infinite cylinder $\mathbb{R}\times \mathbb{T}$ 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: $d(t)\leq Ct^{1/3}\log^2 t$ when $t\rightarrow\infty$.

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Kyudong Choi, Sergey Denisov. 2018-03-30. On the growth of the support of positive vorticity for 2D Euler equation in an infinite cylinder. https://doi.org/10.1007/s00220-019-03295-w

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