Maximal Double-Exponential Growth for the Euler Equation on the Half-Plane
Analysis of PDEs
2025-10-01 v2
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.
Keywords
Cite
@article{arxiv.2507.04198,
title = {Maximal Double-Exponential Growth for the Euler Equation on the Half-Plane},
author = {Andrej Zlatos},
journal= {arXiv preprint arXiv:2507.04198},
year = {2025}
}