Acta mathematica scientia,Series B ›› 1985, Vol. 5 ›› Issue (4): 415-432.

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

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

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Abstract: A compactness frame of the Lax-Friedrichs scheme for the equations of gas dynamics is obtained by using some embedding theorems and an analysis of the difference scheme and the weak entropy.

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