RAREFACTION WAVES FOR QUASILINEAR HYPERBOLIC SYSTEMS. CREATION OF δ-SINGULARITIES TO THE RIEMANN PROBLEM

被引：0

作者：

Popivanov, Petar ^{[1
]}

Slavova, Angela ^{[1
]}

机构：

[1] Bulgarian Acad Sci, Inst Math & Informat, BU-1113 Sofia, Bulgaria

来源：

COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES | 2012年 / 65卷 / 10期

关键词：

quasilinear hyperbolic system; Riemann problem; delta-rarefaction wave; rarefaction wave; SHOCKS;

D O I：

暂无

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

As it is well known there exist delta and delta' shock waves to the Riemann problem for some quasilinear hyperbolic systems in the plane. In the paper we prove for sufficiently large classes of quasilinear hyperbolic systems the existence of delta rarefaction waves. The "p" hyperbolic systems arising in gas dynamics are included here.

引用

页码：1325 / 1334

页数：10