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Axisymmetric Flows in the Exterior of a Cylinder by Abe, Ken; Seregin, Gregory is a scholarly article available to read on EtoBox.

What is Axisymmetric Flows in the Exterior of a Cylinder about?

We study an initial-boundary value problem of the three-dimensional Navier-Stokes equations in the exterior of a cylinder $\Pi=\{x=(x_{h}, x_3)\ |\ |x_{h} |>1\}$, subject to the slip boundary condition. We construct unique global solutions for axisymmetric initial data $u_0\in L^{3}\cap L^{2}(\Pi)$ satisfying the decay condition of the swirl component $ru^{\theta}_{0}\in L^{\infty}(\Pi)$.

Author

Abe, Ken; Seregin, Gregory

Published

2017

Language

EN