arXiv:1711.02400 Abstract | arXiv Analytics

arXiv:1711.02400 [math.AP]Abstract References Reviews Resources

On the steady Navier--Stokes equations in 2D exterior domains

Mikhail V. Korobkov, Konstantinas Pileckas, Remigio Russo

Published 2017-11-07Version 1

We study the boundary value problem for the stationary Navier--Stokes system in two dimensional exterior domain. We prove that any solution of this problem with finite Dirichlet integral is uniformly bounded. Also we prove the existence theorem under zero total flux assumption.

Comments: 2 figures

Categories: math.AP

Subjects: 76D05, 35Q30

Keywords: 2d exterior domains, steady navier-stokes equations, zero total flux assumption, boundary value problem, dimensional exterior domain

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