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arXiv · 2404.19034

Traveling waves near Poiseuille flow for the 2D Euler equation

Ángel Castro·Daniel Lear
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Abstract

In this paper we reveal the existence of a large family of new, nontrivial and Lipschitz traveling waves for the 2D Euler equation at an arbitrarily small distance from the Poiseuille flow in $H^s$, with $s<3/2$, at the level of the vorticity.

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Ángel Castro, Daniel Lear. 2024-04-29. Traveling waves near Poiseuille flow for the 2D Euler equation. https://arxiv.org/abs/2404.19034

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