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

Mikhail Korobkov; Shangkun Weng; Wenqi Lyu

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

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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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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.

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

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