Fast growth of the vorticity gradient in symmetric smooth domains for 2D incompressible ideal flow

Xiaoqian Xu

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arXiv · 1411.1355

Fast growth of the vorticity gradient in symmetric smooth domains for 2D incompressible ideal flow

Xiaoqian Xu

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Abstract

We construct an initial data for the two-dimensional Euler equation in a bounded smooth symmetric domain such that the gradient of vorticity in $L^{\infty}$ grows as a double exponential in time for all time. Our construction is based on the recent result by Kiselev and \v{S}ver\'{a}k.

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Xiaoqian Xu. 2014-11-05. Fast growth of the vorticity gradient in symmetric smooth domains for 2D incompressible ideal flow. https://arxiv.org/abs/1411.1355

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