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arxiv: 2102.13341 · v2 · pith:C37FSB7Z · submitted 2021-02-26 · math.AP

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

Mikhail Korobkov , Wenqi Lyu , Shangkun Weng This is my paper

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classification math.AP
keywords helicalinvariantequationsnavier-stokesproblemsteadyassumedboundary
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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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