On a posteriori error estimates for the stationary Navier-Stokes problem

被引：0
|
作者：
Repin S. [1 ]
机构：
[1] Steklov Institute of Mathematics in St. Petersburg, Russia, St. Petersburg
来源：
Journal of Mathematical Sciences | 2008年 / 150卷 / 1期
关键词：
Weak Solution; Steklov Institute; Incompressible Fluid; Energy Norm; Lipschitz Domain;
D O I：
10.1007/s10958-008-0103-3
中图分类号：
学科分类号：
摘要：
We obtain a computable upper bound for the difference between a solution to the stationary Navier-Stokes problem and any solenoidal vector-valued function satisfying the boundary condition and possessing necessary differentiability properties. For sufficiently small velocities this estimate implies an estimate of the deviation from exact solution in the energy norm and the uniqueness of a weak solution. Bibliography: 3 titles. © 2008 Springer Science+Business Media, Inc.
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页码：1885 / 1889
页数：4
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