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A steady smooth Euler flow with support in the vicinity of a helix

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arxiv 1906.07465 v1 pith:YDP3LWZD submitted 2019-06-18 math.DG

A.V.Gavrilov This is my paper · ORCID
classification math.DG
keywords eulerflowhelixsmootharticleauthorcircleconsidered
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In this article we construct a smooth Euler flow supported in a neighborhood of a helix. It may be considered a generalization of a similar solution found by the author for a circle.

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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. Piecewise smooth stationary Euler flows with support in a neighborhood of a helix

    math.AP 2026-07 accept novelty 8.0 of 10

    Helically symmetric, compactly supported, piecewise smooth stationary Euler flows exist with anisotropic (elliptic) vortex cross-sections and a persistent cos 3θ boundary deformation.

  2. Symmetry in stationary and uniformly-rotating solutions of active scalar equations

    math.AP 2019-08 accept novelty 8.0 of 10

    Any uniformly rotating 2D Euler patch with angular velocity at most 0 or at least 1/2, and any simply connected gSQG patch with sufficiently large angular velocity, must be radially symmetric.

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