Abstract
AbstractWe study an initial-boundary value problem of the three-dimensional Navier-Stokes equations in the exterior of a cylinder $\Pi =\{x=(x_{h}, x_3)\ \vert \vert x_{h} \vert \gt 1\}$, 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 $ru^{\theta }_{0}\in L^{\infty }(\Pi )$.
Publisher
Cambridge University Press (CUP)
Reference44 articles.
1. Neustupa, J. and Pokorný, M. . Axisymmetric flow of Navier-Stokes fluid in the whole space with non-zero angular velocity component. In Proceedings of Partial Differential Equations and Applications (Olomouc, 1999), vol. 126, pp. 469–481 (2001).
2. Luo, G. and Hou, T. . Potentially singular solutions of the 3d incompressible euler equations, arxiv:1310.0497.
3. On Axially Symmetric Flows in $mathbb R^3$
4. A Priori Bound on the Velocity in Axially Symmetric Navier–Stokes Equations
5. Linear and Quasi-linear Equations of
Parabolic Type
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