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arxiv: 1806.04809 · v2 · pith:VBLU6PEVnew · submitted 2018-06-13 · 🧮 math.AP

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

classification 🧮 math.AP
keywords boundaryconditioncylinderequationsinfinitenavier-stokesneumanndata
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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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