journal6 ›› 2002, Vol. 23 ›› Issue (1): 24-28.

• Doctoral Forum • Previous Articles     Next Articles

Global Existence of Solutions to Nonlinear HyperbolicEquations With Viscosity

  

  1. (North China Institute of Water Conservancy and Hydroelectric Power, Zhengzhou 450008,China)
  • Online:2002-03-15 Published:2013-01-05
  • About author:LIU Fa-gui(1965-),male,was bornin Neixiang,Henan Provinc,associate professor of North China Institute of Water Conservancy and Hydroelectric Power, Ph. doctor, area of research is partial differential equations and their applications.
  • Supported by:

    This research is supported by the NSFC(19971062)

Abstract: For Cauchy problem of nonlinear hyperbolic equation with viscosity,the global existence of solutions is obtained by introducing the entropy-entropy flux in the sense of Lax, and by using of the mothod of compensated compactness, the convergence of L∞ bounded approximating solutions is proved.

Key words: global , solution;compensated compactness;entropy-entropy flux

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