GLOBAL REGULAR SOLUTIONS TO THE NAVIER-STOKES EQUATIONS WITH LARGE FLUX

被引：0

作者：

Renclawowicz, Joanna ^{[1
]}

Zajaczkowski, Wojciech ^{[1
,2
]}

机构：

[1] Polish Acad Sci, Inst Math, Sniadeckich 8, PL-00956 Warsaw, Poland

[2] Mil Univ Technol, Inst Math & Cryptol, PL-00908 Warsaw, Poland

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2011年 / 31卷

关键词：

Navier-Stokes equation; weighted Sobolev spaces; Neumann boundary value problem; Dirichlet boundary-value problem; global solutions; large flux;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the Navier-Stokes motion in a bounded cylinder with boundary slip conditions. We assume an inflow and an outflow of the fluid through the bottom and the top of the cylinder where the magnitude of the flux is not restricted. We require that the derivatives of the initial velocity and the external force with respect to the variable along the axis of the cylinder are sufficiently small. Under these conditions we are able to prove global existence of regular solutions. Since we are interested in nonvanishing in time flux we need to use the Hopf function to derive global energy estimate.

引用

页码：1234 / 1243

页数：10

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