Maximal Double-Exponential Growth for the Euler Equation on the Half-Plane

Andrej Zlatos

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arXiv · 2507.04198

Maximal Double-Exponential Growth for the Euler Equation on the Half-Plane

Andrej Zlatos

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Abstract

We show that smooth solutions to the Euler equation on the half-plane can exhibit double-exponential growth of their vorticity gradients. We also determine the maximal possible growth rate and construct solutions that saturate it. These are the first such results on an unbounded resp. any 2D domain.

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Andrej Zlatos. 2025-07-06. Maximal Double-Exponential Growth for the Euler Equation on the Half-Plane. https://arxiv.org/abs/2507.04198

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