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Traveling waves near Poiseuille flow for the 2D Euler equation

Analysis of PDEs 2024-05-01 v1

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 HsH^s, with s<3/2s<3/2, at the level of the vorticity.

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Cite

@article{arxiv.2404.19034,
  title  = {Traveling waves near Poiseuille flow for the 2D Euler equation},
  author = {Ángel Castro and Daniel Lear},
  journal= {arXiv preprint arXiv:2404.19034},
  year   = {2024}
}

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74 pages