Support growth of vorticity for bi-rotational Euler flows in high dimensions

In-Jee Jeong; Deokwoo Lim

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arXiv · 2510.18335

Support growth of vorticity for bi-rotational Euler flows in high dimensions

In-Jee Jeong·Deokwoo Lim

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Abstract

We study incompressible Euler equations in $\mathbb{R}^d$ with $d \ge 4$ under bi-rotational symmetry without swirl, which reduces the Euler equations to a scalar vorticity advection in the first quadrant. We show that patch type initial vorticities exhibit infinite growth of the support diameter.

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In-Jee Jeong, Deokwoo Lim. 2025-10-21. Support growth of vorticity for bi-rotational Euler flows in high dimensions. https://arxiv.org/abs/2510.18335

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