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

2014/03/27 by Mikhail V. Korobkov, Korobkov, Mikhail, Konstantin Pileckas +3
Computer Science · Earth and Planetary Sciences · Mathematics · #Advanced Mathematical Modeling in Engineering #Aquatic and Environmental Studies #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.1403.6921

Abstract

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

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