Well-posed boundary conditions for the Navier-Stokes equations

被引：88

作者：

Nordström, J ^{[1
]}

Svärd, M

机构：

[1] Swedish Def Res Agcy, Div Syst Technol, Dept Computat Phys, SE-16490 Stockholm, Sweden

[2] Uppsala Univ, Dept Informat Technol, SE-75105 Uppsala, Sweden

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 2005年 / 43卷 / 03期

关键词：

well-posed problems; boundary conditions; Navier-Stokes equations; energy estimates; initial boundary value problems; stability;

D O I：

10.1137/040604972

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we propose a general procedure that allows us to determine both the number and type of boundary conditions for time dependent partial differentia equations. With those, well-posedness can be proven for a general initial-boundary value problem. The procedure is exemplifie on the linearized Navier-Stokes equations in two and three space dimensions on a general domain.

引用

页码：1231 / 1255

页数：25

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