A free boundary problem for the Navier-Stokes equations with measure data

被引：3

作者：

Ton, BA ^{[1
]}

机构：

[1] Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2006年 / 64卷 / 01期

关键词：

Navier-Stokes; free boundary; radon measure; heart valves; blood flow;

D O I：

10.1016/j.na.2005.05.038

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence of a weak solution of an initial boundary-value problem for the plane nonstationary Navier-Stokes equations with Radon measure data on the free boundary, is established. The problem may be considered as a model of the blood flow around the heart valves. An inverse problem is studied, it allows us to find the boundary forces acting on the valve from the observed values of the velocity of the fluid in a fixed subregion. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：1 / 21

页数：21

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