A probabilistic multiscale approach to hysteresis in shear wave propagation in biotissue

被引：28

作者：

Banks, HT ^{[1
]}

Pinter, GA

机构：

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

[2] Univ Wisconsin, Dept Math Sci, Milwaukee, WI 53201 USA

来源：

MULTISCALE MODELING & SIMULATION | 2005年 / 3卷 / 02期

关键词：

multiscale modeling; hysteresis; wave propagation; biotissues; probability measures; Prohorov metric;

D O I：

10.1137/040603693

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Motivated by a problem involving wave propagation through viscoelastic biotissue, we present a theoretical framework for treating hysteresis as multiscale phenomena which must be averaged across distributions of internal variables. The resulting systems entail probability measure-dependent partial differential equations for which we establish well-posedness in a framework that leads readily to computationally useful approximations.

引用

页码：395 / 412

页数：18

共 29 条

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[3]

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