Chinese Quarterly Journal of Mathematics ›› 2007, Vol. 22 ›› Issue (1): 143-154.

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Quasilinear Hyperbolic Conservation Laws with Relaxation

  

  1. Department of Mathematics,North China Institute of Water Conservancy and Hydroelectric Power,Zhengzhou 450011,China
  • Received:2006-01-30 Online:2007-03-30 Published:2023-11-16
  • About author:LIU Fa-gui(1965-),male,native of Zhengzhou,Henan,a professor North China Institute of Water Conservancy and Hydroelectric Power,Ph.D.,engages in differential equations.
  • Supported by:
     Supported by the NSF of China(t0571024)； Supported by the NSF of Henan Province(200511051700)； Supported by the NSF of Educational Department of Henan Province(200510078005)；

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Abstract: In this paper,we investigate the relaxation phenomenon for quasilinear hyper- bolic conservation laws,and obtain global smooth solutions and the life span of classical solutions to its Canchy problem.These results shows that the relaxation admits the effects of dissipation.

Key words: conservation laws, relaxation, dissipation, global classical solution, life span 

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