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.
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页码：1231 / 1255
页数：25
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