Initial-boundary-value problem of hyperbolic equations for blood flow in a vessel

被引：0
|
作者：
Ruan, Weihua [1 ]
Clark, M. E. [1 ]
Zhao, Meide [1 ]
Curcio, Anthony [1 ]
机构：
[1] Purdue Univ Calumet, Dept Math Comp Sci & Stat, Hammond, IN USA
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2008年 / 9卷 / 05期
关键词：
hyperbolic equations; initial boundary value problem; blood flow; global solution;
D O I：
10.1016/j.nonrwa.2007.06.016
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study an initial-boundary-value problem of a system of hyperbolic, partial-differential equations that models blood flow in a vessel. The one-spatial-dimensional model assumes that blood flow in the vessel is an incompressible, homogeneous, Newtonian fluid which has a small Womersley number. Boundary conditions with either the pressure or the flow rate at each end of the vessel are considered, and the existence of the global solution is obtained using a form of Glimm's finite-difference scheme. (c) 2007 Elsevier Ltd. All rights reserved.
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页码：2068 / 2085
页数：18
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