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arXiv · 1403.6921

The existence theorem for the steady Navier--Stokes problem in exterior axially symmetric 3D domains

Mikhail Korobkov·Konstantin Pileckas·Remigio Russo
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Abstract

We study the nonhomogeneous boundary value problem for the Navier--Stokes equations of steady motion of a viscous incompressible fluid in a three--dimensional exterior domain with multiply connected boundary. We prove that this problem has a solution for axially symmetric domains and data (without any smallness restrictions on the fluxes).

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Mikhail Korobkov, Konstantin Pileckas, Remigio Russo. 2014-03-27. The existence theorem for the steady Navier--Stokes problem in exterior axially symmetric 3D domains. https://arxiv.org/abs/1403.6921

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