Strong solutions for the nonhomogeneous Navier-Stokes equations in unbounded domains

被引：5

作者：

Braz e Silva, P. ^{[1
]}

Rojas-Medar, M. A. ^{[2
]}

Villamizar-Roa, E. J. ^{[3
]}

机构：

[1] Univ Fed Pernambuco, Dept Matemat, BR-50740540 Recife, PE, Brazil

[2] Univ Bio Bio, Dept Ciencias Basicas, Chillan, Chile

[3] Univ Nacl Colombia, Escuela Matemat, Medellin 3840, Colombia

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2010年 / 33卷 / 03期

关键词：

Stokes and Navier-Stokes equations; existence; uniqueness; regularity theory; VISCOUS INCOMPRESSIBLE FLUIDS; BOUNDARY-VALUE PROBLEM; EXISTENCE; REGULARITY; UNIQUENESS; DENSITY;

D O I：

10.1002/mma.1178

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show the existence of strong solutions for the nonhomogeneous Navier-Stokes equations in three-dimensional domains with boundary uniformly of class C-3. Under suitable assumptions, uniqueness is also proved. Copyright (c) 2009 John Wiley & Sons, Ltd.

引用

页码：358 / 372

页数：15

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