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

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