Riemann problem and wave interactions for the one-dimensional relativistic string equation in Minkowski space

被引：3

作者：

Liu, Jianli ^{[1
]}

Liu, Ruixi ^{[1
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2020年 / 486卷 / 02期

关键词：

Riemann problem; Relativistic string equation; Delta shock wave; Wave interactions; DELTA SHOCK-WAVES; HYPERBOLIC SYSTEMS; INITIAL DATA;

D O I：

10.1016/j.jmaa.2020.123932

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the Riemann problem for the one-dimensional relativistic string equation in Minkowski space. It is shown that the delta shock wave will be constructed in the Riemann solutions in some certain situations. Furthermore, the interactions of elementary waves including contact discontinuity and delta shock wave are obtained. (C) 2020 Elsevier Inc. All rights reserved.

引用

页数：13

共 50 条

[21] THE RIEMANN PROBLEM WITH DELTA INITIAL DATA FOR THE ONE-DIMENSIONAL CHAPLYGIN GAS EQUATIONS
王振
张庆玲
ActaMathematicaScientia, 2012, 32 (03) : 825 - 841
[22] Riemann problem for one-dimensional binary gas enhanced coalbed methane process
Tang, Changfu
Wang, Xiaodong
THEORETICAL AND APPLIED MECHANICS LETTERS, 2011, 1 (06) : 062006
[23] Riemann problem for one-dimensional binary gas enhanced coalbed methane process
Changfu Tang
Theoretical & Applied Mechanics Letters, 2011, 1 (06) : 41 - 44
[24] The Riemann problem for the one-dimensional compressible flow of a van der Waals gas
Yicheng Pang
Min Hu
Zeitschrift für angewandte Mathematik und Physik, 2019, 70
[25] The Riemann problem for the one-dimensional compressible flow of a van der Waals gas
Pang, Yicheng
Hu, Min
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2019, 70 (05):
[26] Riemann Problem and Wave Interactions for a Class of Strictly Hyperbolic Systems of Conservation Laws
Yu Zhang
Yanyan Zhang
Bulletin of the Brazilian Mathematical Society, New Series, 2020, 51 : 1017 - 1040
[27] Riemann Problem and Wave Interactions for a Temple-class Hyperbolic System of Conservation Laws
Wei, Zhijian
Sun, Meina
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2021, 44 (06) : 4195 - 4221
[28] PROPORTIONAL INTEGRAL REGULATION CONTROL OF A ONE-DIMENSIONAL SEMILINEAR WAVE EQUATION\ast
Lhachemi, Hugo
Prieur, Christophe
Trelat, Emmanuel
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2022, 60 (01) : 1 - 21
[29] The Riemann problem in the quasi-one-dimensional approximation
M. V. Abakumov
Yu. P. Popov
P. V. Rodionov
Computational Mathematics and Mathematical Physics, 2015, 55 : 1356 - 1369
[30] The Riemann problem in the quasi-one-dimensional approximation
Abakumov, M. V.
Popov, Yu. P.
Rodionov, P. V.
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2015, 55 (08) : 1356 - 1369

← 1 2 3 4 5 →