On Shape Stability of Incompressible Fluids Subject to Navier's Slip Condition

被引：4

作者：

Stebel, Jan ^{[1
]}

机构：

[1] Acad Sci Czech Republ, Inst Math, CR-11567 Prague 1, Czech Republic

来源：

JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2012年 / 14卷 / 03期

关键词：

Navier's slip boundary condition; Domain dependence; Incompressible fluid; BOUNDARY-CONDITION; ASYMPTOTIC LIMIT; SHEAR-RATE; ROUGHNESS; EQUATIONS; PRESSURE; FLOWS;

D O I：

10.1007/s00021-011-0086-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper is concerned with the equations of motion for incompressible fluids that slip at the wall. Particular interest is in the domain dependence of weak solutions. We prove that the solutions depend continuously on the perturbation of the boundary provided that the latter remains in the class . The result is applicable to a wide class of shape optimization problems and is optimal in terms of boundary regularity.

引用

页码：575 / 589

页数：15

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