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

2018/06/13 by Abe, Ken
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1806.04809

Abstract

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

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