数学物理学报(英文版) ›› 1990, Vol. 10 ›› Issue (1): 39-45.

• 论文 • 上一篇    下一篇

CONVERGENCE OF THE APPROXIMATE SOLUTIONS TO ISENTROPIC GAS DYNAMICS

陈贵强1, 陆云光2   

  1. 1. Inst. of Sys. Sci., Academia Sinica, Beijing, China;
    2. Inst. of Math. Sci., Academia Sinica, Wuhan, China
  • 收稿日期:1987-08-07 出版日期:1990-03-25 发布日期:1990-03-25

CONVERGENCE OF THE APPROXIMATE SOLUTIONS TO ISENTROPIC GAS DYNAMICS

Chen Guiqiang1, Lu Yunguang2   

  1. 1. Inst. of Sys. Sci., Academia Sinica, Beijing, China;
    2. Inst. of Math. Sci., Academia Sinica, Wuhan, China
  • Received:1987-08-07 Online:1990-03-25 Published:1990-03-25

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摘要： This paper gives four pairs of entropies (ηi, qi) (i=1, 2, 3, 4) to the isentropic gas dynamics equations
ρt+(ρu)x=0 (ρu)t+(ρu2+p(ρ))x=0 p(ρ)=k2ργ,1 < γ < 3.
when all the function equations are satisfied
<v,ηiqj-ηjqi>=<v,ηi><v,qj>-<v,ηj><v,qi>.
where supp v is small,v is a Dirac mass under a strong confine ρ ≥ C(T) > 0.

Abstract: This paper gives four pairs of entropies (ηi, qi) (i=1, 2, 3, 4) to the isentropic gas dynamics equations
ρt+(ρu)x=0 (ρu)t+(ρu2+p(ρ))x=0 p(ρ)=k2ργ,1 < γ < 3.
when all the function equations are satisfied
<v,ηiqj-ηjqi>=<v,ηi><v,qj>-<v,ηj><v,qi>.
where supp v is small,v is a Dirac mass under a strong confine ρ ≥ C(T) > 0.

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