数学物理学报(英文版) ›› 1992, Vol. 12 ›› Issue (2): 230-239.

• 论文 • 上一篇    

CONVERGENCE OF THE VISCOSITY METHOD FOR A NONSTRICTLY HYPERBOLIC SYSTEM

陆云光   

  1. Inst. of Math. Sci., Academia Sinica, Wuhan(430071), China
  • 收稿日期:1991-01-20 修回日期:1991-09-17 出版日期:1992-06-25 发布日期:1992-06-25

CONVERGENCE OF THE VISCOSITY METHOD FOR A NONSTRICTLY HYPERBOLIC SYSTEM

Lu Yunguang   

  1. Inst. of Math. Sci., Academia Sinica, Wuhan(430071), China
  • Received:1991-01-20 Revised:1991-09-17 Online:1992-06-25 Published:1992-06-25

摘要: A convergence theorem for the method of artificial viscosity applied to the nonstrictly hyperbolie system ut+(1)/2(3u2+v2)x=0, vt+(uv)x=0 is established. Convergence of a subsequence in the strong topology is proved without uniform estimates on the derivatives using the theory of compensated compactness and an analysis of progressing entropy waves.

Abstract: A convergence theorem for the method of artificial viscosity applied to the nonstrictly hyperbolie system ut+(1)/2(3u2+v2)x=0, vt+(uv)x=0 is established. Convergence of a subsequence in the strong topology is proved without uniform estimates on the derivatives using the theory of compensated compactness and an analysis of progressing entropy waves.