Traveling waves near Poiseuille flow for the 2D Euler equation

2024/04/29 by Ángel Castro, Castro, Ángel, Daniel Lear +1 · 2 citations
Mathematics · #35Q31 #35Q35 #76B03 #76E05 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Differential Equations and Numerical Methods #FOS: Mathematics #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.2404.19034

openalex publication_date 2024/04/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

• Time-periodic non-radial solutions near monotone vortices in linearized 2D Euler
• Least total curvature solutions to steady Euler system and monotone solutions to semilinear equations in a strip

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