Axisymmetric flows in the exterior of a cylinder
2019 ◽
Vol 150
(4)
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pp. 1671-1698
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Keyword(s):
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 $ru^{\theta }_{0}\in L^{\infty }(\Pi )$.
2000 ◽
Vol 130
(4)
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pp. 827-835
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Philosophical Transactions of the Royal Society of London Series A Physical and Engineering Sciences
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1994 ◽
Vol 346
(1679)
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pp. 173-190
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2008 ◽
Vol 18
(08)
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pp. 1383-1408
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2018 ◽
Vol 65
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pp. 29-56
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Vol 12
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pp. 412-434
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2021 ◽