Solvability in weighted spaces of the three-dimensional Navier-Stokes problem in domains with cylindrical outlets to infinity

被引：0

作者：

Pileckas, Konstantin

机构：

[1] Vilnius State Univ, Fac Math & Informat, LT-2006 Vilnius, Lithuania

[2] Inst Math & Informat, LT-08663 Vilnius, Lithuania

来源：

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2007年 / 29卷 / 02期

关键词：

nonstationary Navier-Stokes equations; noncompact domains; time-dependent Poiseuille flow; existence and uniqueness of solutions;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The nonstationaxy Navier-Stokes problem is studied in a three,dimensional domain with cylindrical outlets to infinity in weighted Sobolev function spaces. The unique solvability of this problem is proved under natural compatibility conditions either for a small time interval or for small data. Moreover, it is shown that the solution having prescribed fluxes over cross-sections of outlets to infinity tends in each outlet to the corresponding time-dependent Poiseuille flow.

引用

页码：333 / 360

页数：28

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