Interface conditions for Stokes equations with a discontinuous viscosity and surface sources

被引：10

作者：

Ito, K

Li, ZL ^{[1
]}

机构：

[1] N Carolina State Univ, Ctr Res Sci Computat, Raleigh, NC 27695 USA

[2] N Carolina State Univ, Dept Math, Raleigh, NC 27695 USA

来源：

APPLIED MATHEMATICS LETTERS | 2006年 / 19卷 / 03期

基金：

美国国家科学基金会;

关键词：

incompressible Stokes equations; interface; discontinuous viscosity; interface conditions; singular sources;

D O I：

10.1016/j.aml.2005.02.041

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The interface conditions, or jump conditions, for the pressure and the velocity of the solution to the incompressible Stokes equations with a discontinuous viscosity and a singular source along an interface are derived in this work. While parts of the results agree with those in the literature, some of the results are new. These theoretical results are useful for developing accurate numerical methods for the interface problem. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：229 / 234

页数：6

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