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

被引：1

作者：

Abe, K. ^{[1
]}

机构：

[1] Osaka City Univ, Grad Sch Sci, Dept Math, Sumiyoshi Ku, 3-3-138 Sugimoto, Osaka 5588585, Japan

来源：

MANUSCRIPTA MATHEMATICA | 2019年 / 160卷 / 3-4期

关键词：

VANISHING VISCOSITY; LAPLACE OPERATORS; CALCULUS; SYSTEM; POWERS; SPACES;

D O I：

10.1007/s00229-018-01102-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove unique existence of local-in-time smooth solutions of the Navier-Stokes equations for initial data in L-p and p is an element of [3,8) in an infinite cylinder, subject to the Neumann boundary condition.

引用

页码：359 / 383

页数：25

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