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
收藏
页码：454 / 466
页数：13
相关论文
共 50 条
  • [1] Riemann problem and elementary wave interactions in isentropic magnetogasdynamics
    Sekhar, T. Raja
    Sharma, V. D.
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (02) : 619 - 636
  • [2] THE RIEMANN PROBLEM OF CONSERVATION LAWS IN MAGNETOGASDYNAMICS
    Hu, Yanbo
    Sheng, Wancheng
    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2013, 12 (02) : 755 - 769
  • [3] Elementary wave interactions in magnetogasdynamics
    Liu, Yujin
    Sun, Wenhua
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2016, 47 (01) : 33 - 57
  • [4] Solution of the Riemann Problem in magnetogasdynamics
    Singh, R.
    Singh, L. P.
    INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2014, 67 : 326 - 330
  • [5] Solution of the Riemann problem for an ideal polytropic dusty gas in magnetogasdynamics
    Chauhan, Astha
    Arora, Rajan
    ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2020, 75 (06): : 511 - 522
  • [6] Riemann problem and elementary wave interactions in dusty gas
    Chaudhary, J. P.
    Singh, L. P.
    APPLIED MATHEMATICS AND COMPUTATION, 2019, 342 : 147 - 165
  • [7] Elementary wave interactions in magnetogasdynamics
    Yujin Liu
    Wenhua Sun
    Indian Journal of Pure and Applied Mathematics, 2016, 47 : 33 - 57
  • [8] The Generalized Riemann Problem for a Simplified Model in Magnetogasdynamics
    Liu, Yujin
    Sun, Wenhua
    ENGINEERING LETTERS, 2020, 28 (03) : 898 - 902
  • [9] Elementary wave interactions for a simplified model in magnetogasdynamics
    Liu Y.
    Sun W.
    Engineering Letters, 2020, 28 (04): : 1081 - 1087
  • [10] Elementary Wave Interactions for a Simplified Model in Magnetogasdynamics
    Liu, Yujin
    Sun, Wenhua
    ENGINEERING LETTERS, 2020, 28 (04) : 1081 - 1087
12345