数学物理学报(英文版) ›› 1985, Vol. 5 ›› Issue (4): 433-472.

• 论文 • 上一篇    

CONVERGENCE OF THE LAX-FRIEDRICHS SCHEME FOR ISENTROPIC GAS DYNAMICS (Ⅱ)

丁夏畦1, 陈贵强2, 罗佩珠2   

  1. 1. Inst. of Math. Sci., Academia Sinica, China Liuhui Research Centre of Mathematics;
    2. Institute of Systems Sciences, Academia Sinica, Beijing, China
  • 收稿日期:1985-08-11 出版日期:1985-12-25 发布日期:1985-12-25

CONVERGENCE OF THE LAX-FRIEDRICHS SCHEME FOR ISENTROPIC GAS DYNAMICS (Ⅱ)

Ding Xiaxi1, Chen Guiqiang2, Luo Peizhu2   

  1. 1. Inst. of Math. Sci., Academia Sinica, China Liuhui Research Centre of Mathematics;
    2. Institute of Systems Sciences, Academia Sinica, Beijing, China
  • Received:1985-08-11 Online:1985-12-25 Published:1985-12-25

摘要: A convergence theorem of the approximate solutions generated by the Lax-Friedrichs scheme for the isentropic equations of gas dynamics (γ=(3)/2) is established by using an analysis of the weak entropy and studying the regularity of the parametrized probability measures.

Abstract: A convergence theorem of the approximate solutions generated by the Lax-Friedrichs scheme for the isentropic equations of gas dynamics (γ=(3)/2) is established by using an analysis of the weak entropy and studying the regularity of the parametrized probability measures.