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Traveling waves near Poiseuille flow for the 2D Euler equation

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arxiv 2404.19034 v1 pith:EWM7SKYD submitted 2024-04-29 math.AP

Ángel Castro , Daniel Lear This is my paper · ORCID
classification math.AP
keywords equationeulerflowpoiseuilletravelingwavesarbitrarilydistance
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Neutral curves and traveling waves in plane Poiseuille flow

    math.AP 2026-07 conditional novelty 7.0 of 10

    Rigorous proof that the lower and upper neutral branches of plane Poiseuille flow obey ν ~ α^7 and ν ~ α^11, with simple eigenvalues and transversal crossing, yielding traveling-wave bifurcation.

  2. Least total curvature solutions to steady Euler system and monotone solutions to semilinear equations in a strip

    math.AP 2025-07 accept novelty 6.0 of 10

    The authors construct case (c) least-total-curvature steady Euler flows in a strip and stable monotone semilinear solutions with non-convex superlevel sets.

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