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- W3206287550 abstract "<p style='text-indent:20px;'>In this paper, we study axisymmetric homogeneous solutions of the Navier-Stokes equations in cone regions. In [James Serrin. The swirling vortex. Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 271(1214):325-360, 1972.], Serrin studied the boundary value problem in half-space minus <inline-formula><tex-math id=M1>begin{document}$ x_3 $end{document}</tex-math></inline-formula>-axis, and used it to model the dynamics of tornado. We extend Serrin's work to general cone regions minus <inline-formula><tex-math id=M2>begin{document}$ x_3 $end{document}</tex-math></inline-formula>-axis. All axisymmetric homogeneous solutions of the boundary value problem have three possible patterns, which can be classified by two parameters. Some existence results are obtained as well.</p>" @default.
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- W3206287550 date "2021-01-01" @default.
- W3206287550 modified "2023-10-16" @default.
- W3206287550 title "Existence of axisymmetric and homogeneous solutions of Navier-Stokes equations in cone regions" @default.
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- W3206287550 doi "https://doi.org/10.3934/dcdss.2021126" @default.
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