Simple waves and characteristic decompositions of quasilinear hyperbolic systems in two independent variables
Simple waves and characteristic decompositions of quasilinear hyperbolic systems in two independent variables
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DOI：
10.1002/mma.3163
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发表时间：
2015-05
影响因子：
2.9
通讯作者：
Yan-bo Hu;Wancheng Sheng
中科院分区：
文献类型：
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作者：
Yan-bo Hu;Wancheng Sheng
本文研究了一类具有两自变量的一般拟线性严格双曲型系统的简单波。利用特征分解的方法，首先建立了特征分解存在的一个更一般的充分条件。这些分解使我们能够将Courant和Friedrichs关于可约方程的一个众所周知的结果推广到不可约方程。然后，在得到的充分条件下，我们构造了一个简单的波解，其中特征可以是围绕给定曲线的一组非直线曲线。版权所有©2014 John Wiley & Sons， Ltd。
This paper is concerned with the simple waves for the general quasilinear strictly hyperbolic systems in two independent variables. By using the method of characteristic decomposition, we first establish a more general sufficient condition for the existence of characteristic decompositions. These decompositions allow us to extend a well‐known result on reducible equations by Courant and Friedrichs to the non‐reducible equations. Then we construct a simple wave solution, in which the characteristics may be a set of non‐straight curves, around a given curve under the obtained sufficient condition. Copyright © 2014 John Wiley & Sons, Ltd.