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arXiv · 1806.04809

The Navier-Stokes equations with the Neumann boundary condition in an infinite cylinder

Ken Abe
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Abstract

We prove unique existence of local-in-time smooth solutions of the Navier-Stokes equations for initial data in $L^{p}$ and $p \in [3, \infty)$ in an infinite cylinder, subject to the Neumann boundary condition.

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Ken Abe. 2018-06-13. The Navier-Stokes equations with the Neumann boundary condition in an infinite cylinder. https://arxiv.org/abs/1806.04809

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