Algebras of the singularities of singular solutions to first-order quasi-linear strictly hyperbolic systems

被引：29

作者：

Danilov, VG ^{[1
]}

Maslov, VP

Shelkovich, VM

机构：

[1] Moscow Tech Univ Commun & Informat, Moscow, Russia

[2] Moscow MV Lomonosov State Univ, Moscow, Russia

[3] St Petersburg State Architecture & Civil Engn, St Petersburg, Russia

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 1998年 / 114卷 / 01期

基金：

俄罗斯基础研究基金会;

关键词：

D O I：

10.1007/BF02557106

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

An associative commutative algebra of distributions that contains homogeneous and associated homogeneous distributions is constructed. This algebra is used to analyze generalized solutions to strictly hyperbolic partial differential equations. Possible types of singularities are studied and the necessary (analogues of Hugoniot conditions for shock waves) and sufficient conditions for the existence of such solutions are obtained.

引用

页码：1 / 42

页数：42

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