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

## TL;DR

This paper constructs a smooth Euler flow localized near a helix, extending previous work on circular support to more complex geometries, demonstrating the flexibility of Euler flows around curved structures.

## Contribution

It introduces a new class of smooth Euler flows supported near a helix, generalizing earlier solutions supported on circles.

## Key findings

- Flow is supported in a neighborhood of a helix.
- Generalizes previous circular support solutions.
- Demonstrates the existence of smooth Euler flows around complex curves.

## Abstract

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.