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.
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页码：114 / 121
页数：8
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