Symmetric Hyperbolic Equations in the Nonlinear Elasticity Theory

被引：15

作者：

Godunov, S. K. ^{[1
]}

Peshkov, I. M. ^{[1
]}

机构：

[1] Russian Acad Sci, Siberian Branch, Sobolev Inst Math, Novosibirsk 630090, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2008年 / 48卷 / 06期

关键词：

nonlinear elasticity theory; symmetric hyperbolic equations; equations in Eulerian and Lagrangian coordinates; review;

D O I：

10.1134/S0965542508060092

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The basic results are overviewed concerning the formulation of nonlinear elasticity equations in the form of symmetric hyperbolic systems in long-time studies performed under the direction of the first author. The underlying principles developed in those studies are stated, and some inaccuracies and errors are corrected. Procedures are described for computing the coefficient matrices of the equations from a given equation of state.

引用

页码：975 / 995

页数：21

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