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

Mikhail V. Korobkov; Konstantinas Pileckas; Remigio Russo

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arXiv · 1711.02400

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

Mikhail V. Korobkov·Konstantinas Pileckas·Remigio Russo

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Abstract

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.

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Mikhail V. Korobkov, Konstantinas Pileckas, Remigio Russo. 2017-11-07. On the steady Navier--Stokes equations in 2D exterior domains. https://arxiv.org/abs/1711.02400

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