Basic Theory for Generalized Linear Solid Viscoelastic Models

被引：0

作者：

McLaughlin, Joyce ^{[1
]}

Thomas, Ashley ^{[1
]}

Yoon, Jeong-Rock ^{[2
]}

机构：

[1] Rensselaer Polytech Inst, Dept Math Sci, Troy, NY 12180 USA

[2] Clemson Univ, Dept Math Sci, Clemson, SC 29634 USA

来源：

TOMOGRAPHY AND INVERSE TRANSPORT THEORY | 2011年 / 559卷

关键词：

Viscoelasticity; generalized linear solids; existence; uniqueness; regularity of solutions;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the generalized linear solid model of viscoelastic wave propagation, which is modeled by a system of integro-differential equations. We show the existence and uniqueness of a weak solution to the initial-boundary value problem; we show that the solution has finite propagation speed; and we prove regularity results for the solution, depending on the regularity of the domain, the material parameters, the initial data, and the source function.

引用

页码：101 / +

页数：3

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