Riemann problem and wave interactions in Magnetogasdynamics

被引：32

作者：

Liu, Yujin ^{[1
]}

Sun, Wenhua ^{[1
]}

机构：

[1] Shandong Univ Technol, Sch Sci, Zibo 255049, Shandong, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2013年 / 397卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Riemann problem; Elementary wave; Magnetogasdynamics; Shock wave; Rarefaction wave; HYPERBOLIC SYSTEMS; EQUATIONS;

D O I：

10.1016/j.jmaa.2012.07.064

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is mainly concerned with the Riemann problem for one-dimensional ideal isentropic Magnetogasdynamics with transverse magnetic field. The existence and uniqueness of the solutions of the Riemann problem are obtained constructively with the characteristic method. Furthermore, we investigate the interactions of the elementary waves. (c) 2012 Elsevier Inc. All rights reserved.

引用

页码：454 / 466

页数：13

共 50 条

[41] The Riemann problem for a one-dimensional nonlinear wave system with different gamma laws
Wang, Guodong
Liu, Jia-Bao
Zhao, Lin
BOUNDARY VALUE PROBLEMS, 2017,
[42] Singular solutions to the Riemann problem for a macroscopic production model
Sun, Meina
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2017, 97 (08): : 916 - 931
[43] Bounds for Wave Speeds in the Riemann Problem: Direct Theoretical Estimates
Toro, E. F.
Mueller, L. O.
Siviglia, A.
COMPUTERS & FLUIDS, 2020, 209 (209)
[44] The Riemann problem for a spray model
Thanh, Mai Duc
Vinh, Duong Xuan
APPLICABLE ANALYSIS, 2023, 102 (07) : 1854 - 1873
[45] Exact delta shock wave solution to the Riemann problem for the three-component chromatography model
Wei, Zhijian
Sun, Meina
COMPUTATIONAL & APPLIED MATHEMATICS, 2022, 41 (04)
[46] Linearization of the Riemann problem for a triangular system of conservation laws and delta shock wave formation process
Mitrovic, D.
Bojkovic, V.
Danilov, V. G.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2010, 33 (07) : 904 - 921
[47] Riemann problem for the one-velocity model of a heterogeneous medium
Surov V.S.
Journal of Engineering Physics and Thermophysics, 2008, 81 (6) : 1176 - 1184
[48] The Riemann problem for a traffic flow model on a road with variable widths
Sheng, Wancheng
Zhang, Qinglong
IMA JOURNAL OF APPLIED MATHEMATICS, 2022, 87 (05) : 757 - 785
[49] The Riemann problem and interaction of waves for the isentropic flow in a collapsed ductwork
Wang, Fan
Zhang, Qinglong
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2025, 175
[50] Elementary wave interactions in blood flow through artery
Sekhar, T. Raja
Minhajul
JOURNAL OF MATHEMATICAL PHYSICS, 2017, 58 (10)

← 1 2 3 4 5 →