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arXiv:2003.05246 [math.AP]AbstractReferencesReviewsResources

Proof of the Liouville type theorem for the stationary Navier-Stokes equations in $\Bbb R^3$

Dongho Chae

Published 2020-03-11Version 1

In this paper we prove Liouville type theorem for the stationary Navier-Stokes equations in $\Bbb R^3$. If $u$ is a smooth solution to the three dimensional stationary Navier-Stokes equations, which has finite Dirichlet integral, and vanishes uniformly at infinity, then we show that $u=0$ on $\Bbb R^3$.

Comments: 8 pages
Categories: math.AP
Subjects: 35Q30, 76D05, 76D03
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