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26 April 2024

» arxiv » 2208.01458

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Asymptotic properties of steady plane solutions of the Navier-Stokes equations in the exterior of a half-space
Lili Wang ; Wendong Wang ;
Date:	2 Aug 2022
Abstract:	Motivated by Gilbarg-Weinberger’s early work on asymptotic properties of steady plane solutions of the Navier-Stokes equations on a neighborhood of infinity cite{GW1978} , we investigate asymptotic properties of steady plane solutions of this system on a half-neighborhood of infinity with finite Dirichlet integral and Navier-slip boundary condition, and obtain that the velocity of the solution grows more slowly than $sqrt{log r}$, while the pressure converges to $0$ along each ray passing through the origin.
Source:	arXiv, 2208.01458
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