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

共 50 条

[1] Global classical solutions to quasilinear hyperbolic systems with weak linear degeneracy
Zhou, Y
CHINESE ANNALS OF MATHEMATICS SERIES B, 2004, 25 (01) : 37 - 56
[2] GLOBAL CLASSICAL SOLUTIONS TO QUASILINEAR HYPERBOLIC SYSTEMS WITH WEAK LINEAR DEGENERACY
ZHOU Yi InstituteofMathematics
Chinese Annals of Mathematics, 2004, (01) : 37 - 56
[3] On Linear Degeneracy of Integrable Quasilinear Systems in Higher Dimensions
Ferapontov, Evgeny V.
Khusnutdinova, Karima R.
Klein, Christian
LETTERS IN MATHEMATICAL PHYSICS, 2011, 96 (1-3) : 5 - 35
[4] On Linear Degeneracy of Integrable Quasilinear Systems in Higher Dimensions
Evgeny V. Ferapontov
Karima R. Khusnutdinova
Christian Klein
Letters in Mathematical Physics, 2011, 96 : 5 - 35
[5] Asymptotic Behavior of Global Classical Solutions of Quasilinear Non-strictly Hyperbolic Systems with Weakly Linear Degeneracy*
Wenrong Dai
Chinese Annals of Mathematics, Series B, 2006, 27 : 263 - 286
[6] Asymptotic Behavior of Global Classical Solutions of Quasilinear Non-strictly Hyperbolic Systems with Weakly Linear Degeneracy
Wenrong DAI Department of Mathematics
Chinese Annals of Mathematics, 2006, (03) : 263 - 286
[7] Asymptotic behavior of global classical solutions of quasilinear non-strictly hyperbolic systems with weakly linear degeneracy
Wenrong Dai
CHINESE ANNALS OF MATHEMATICS SERIES B, 2006, 27 (03) : 263 - 286
[8] QUASILINEAR HYPERBOLIC SYSTEMS
LIU, TP
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1979, 68 (02) : 141 - 172
[9] SHOCK-WAVE TRACKING FOR HYPERBOLIC SYSTEMS EXHIBITING LOCAL LINEAR DEGENERACY
HE, YP
MOODIE, TB
STUDIES IN APPLIED MATHEMATICS, 1993, 89 (03) : 195 - 232
[10] On the behaviour of a class of quasilinear (h, k) hyperbolic systems under linear perturbations
Fenner, JL
Pinto, M
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 30 (02) : 1165 - 1170

← 1 2 3 4 5 →