2D Navier-Stokes system and no-slip boundary condition for vorticity in exterior domains

Alexey Gorshkov

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arXiv · 2106.15291

2D Navier-Stokes system and no-slip boundary condition for vorticity in exterior domains

Alexey Gorshkov

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Abstract

In this article we derive Biot-Savar law for exterior 2D domain. No-slip condition in terms of vorticity is expressed in integral form. For non-stationary fluid dynamics equations no-slip condition generates affine invariant manifold and no-slip integral relations on vorticity can be transferred to Robin-type boundary condition.

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Alexey Gorshkov. 2021-06-29. 2D Navier-Stokes system and no-slip boundary condition for vorticity in exterior domains. https://arxiv.org/abs/2106.15291

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