Completely linear degeneracy for quasilinear hyperbolic systems

被引：0

作者：

Wang, Yuzhu ^{[1
]}

Wei, Changhua ^{[2
]}

机构：

[1] North China Univ Water Resources & Elect Power, Sch Math & Stat, Zhengzhou 450011, Henan, Peoples R China

[2] Zhejiang Sci Tech Univ, Dept Math, Hangzhou 310018, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2018年 / 465卷 / 01期

关键词：

Quasilinear hyperbolic systems; Completely linear degeneracy; COMPLEX CONSERVATION-LAWS; GLOBAL EXISTENCE; SMOOTH SOLUTIONS; CHAPLYGIN GASES; CLASSICAL-SOLUTIONS; EULER EQUATIONS; SINGULARITIES;

D O I：

10.1016/j.jmaa.2018.05.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a new concept of completely linear degeneracy for quasilinear hyperbolic systems in several space variables, and then get an interesting property for multidimensional hyperbolic conservation laws satisfying our new definition. For applications, we give some examples arising from mathematics and physics at last. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：318 / 330

页数：13

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