期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

一维等温欧拉方程组的Delta激波解

Delta Shock Wave Solution for Isothermal Euler System
下载PDF
导出
摘要 讨论了一维等温欧拉方程组的黎曼问题。通过特征分析的方法,得到了相应黎曼问题的Delta激波解。 The Riemann problem for one-dimensional isothermal Euler system is considered. With the help of characteristic analysis method,we obtain the Delta shock wave solution to the related Riemann problem.
作者 王丽
机构地区 上海电机学院数理教学部
出处 《上海电机学院学报》 2014年第2期113-115,共3页 Journal of Shanghai Dianji University
基金 国家自然科学基金天元基金项目资助(11226171)
关键词 等温欧拉方程组 Delta激波解 特征分析法 isothermal Euler system Delta shock wave solution characteristic analysis method
分类号 O175.2 [理学—基础数学]
  • 相关文献

参考文献13

  • 1Chen Guiqiang, Chrisloforou C, Zhang Yongqian. Continuous dependence of entropy solutions to the Euler equations on the adiabatic exponent and Mach number[J]. Archive for Rational Mechanics and Analysis,2008,189(1) : 97-130.
  • 2Osiadacz A J, Chaczykowski M. Comparison of iso thermal and non isothermal pipeline gas flow mod- els[J]. Chemical Engineering Journal, 2001,81 (1- 3) : 41-51.
  • 3Poupaud F,Rascle M. Vila J P. Global solutions to the isothermal Euler poisson system with arbitrarily large data [J]. Journal of Differential Equations, 1995,123(1) : 93-121.
  • 4Yuen M. Analytical blowup solutions to the 2-di- mensional isothermal Euler poisson equations of gaseous stars[J]. Journal of Mathematical Analysis and Applications, 2008, 341 (1) : 445-456.
  • 5Huang Feimin,Wang Zhen. Convergence of viscosi- ty solutions for isothermal gas dynamics[J]. SIAM Journal on Mathemalical Analysis, 2002, 34 (3) : 595-610.
  • 6Bhat H S, Fetecau R C. On a regularization of the compressible Euler equations for an isothermal gas [J]. Journal of Mathematical Analysis and Applica- tions,2009,358(1) 168-181.
  • 7Korcbinski D J. Solutions of a Riemann Problem for a System of Conservation Laws Possessing No Classical Weak Solution[M]. Thsis: Adelphi Uni- versity, 1977 : 123-150.
  • 8Li Jiequan, Zhang Tong, Yang Shuili. The Two-di- mensional Riemann Prolem in Gas Dynamics[M]. [S. L. ]: CRC Press Inc. ,1998: 151-190.
  • 9Nedeljkov M, Oberguggenberger M. Interactions of delta shock waves in a strictly hyperbolic system of conservation laws [J]. Journal of Mathematical Analysis and Applications, 2008,344 ( 2 ) : 1143 1157.
  • 10Shen Chun, Sun M. Formation of delta shocks and vacuum states in the vanishing pressure limit of Ri- emann solutions to the perturbed Aw-Rasele model [J]. Journal of Differential Equations, 2010, 249 (12) : 3024-3051.

共引文献78

上海电机学院学报
2014年 第2期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部