Smooth Periodic Solutions of a 2 x 2 System of Nonlinear Hyperbolic Conservation Laws

被引：0

作者：

Shearer, Michael ^{[1
]}

机构：

[1] North Carolina State Univ, Dept Math, Raleigh, NC 27695 USA

来源：

APPLIED MATHEMATICS RESEARCH EXPRESS | 2014年 / 2014卷 / 01期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1093/amrx/abt006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Keyfitz-Kranzer system of two conservation laws has the property that it can be written as a triangular system of equations that can be solved successively. In this paper, we show that the system reduces to a linearly degenerate system if the tension T is given by Hooke's law. This linearly degenerate system has a formula for time-periodic smooth solutions that are easily generated numerically.

引用

页码：114 / 121

页数：8

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