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arXiv · 2102.13341

On the existence of helical invariant solutions to steady Navier-Stokes equations

Mikhail Korobkov·Wenqi Lyu·Shangkun Weng
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Abstract

In this paper, we investigate the nonhomogeneous boundary value problem for the steady Navier-Stokes equations in a helically symmetric spatial domain. When data is assumed to be helical invariant and satisfies the compatibility condition, we prove this problem has at least one helical invariant solution.

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Mikhail Korobkov, Wenqi Lyu, Shangkun Weng. 2021-02-26. On the existence of helical invariant solutions to steady Navier-Stokes equations. https://arxiv.org/abs/2102.13341

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