Classical solutions to Navier-Stokes equations for nonhomogeneous incompressible fluids with non-negative densities

被引：3

作者：

Tong Lining ^{[1
]}

Yuan Hongjun ^{[2
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

[2] Jilin Univ, Inst Math, Changchun 130012, Jilin, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 362卷 / 02期

关键词：

Navier-Stokes equations; Incompressible fluids; Classical solutions; SOLVABILITY; EXISTENCE;

D O I：

10.1016/j.jmaa.2009.08.040

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the Navier-Stokes equations for nonhomogeneous incompressible fluids in a bounded domain Omega of R(3.) We first prove the existence and uniqueness of local classical solutions to the initial boundary value problem of linear Stokes equations and then we obtain the existence and uniqueness of local classical solutions to the Navier-Stokes equations with vacuum under the assumption that the data satisfies a natural compatibility condition. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：476 / 504

页数：29

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