Acta mathematica scientia,Series B ›› 2009, Vol. 29 ›› Issue (5): 1375-1382.doi: 10.1016/S0252-9602(09)60110-7

• Articles • Previous Articles     Next Articles

THE APPLICATION OF THE KINETIC FORMULATION TO A SYSTEM OF QUADRATIC FLUX

 CHENG Zhi-Xin   

  1. Department of Mathematics, Yancheng Teachers University, Yancheng 224002, China
  • Received:2006-12-13 Revised:2007-09-03 Online:2009-09-20 Published:2009-09-20
  • Supported by:

    Sponsored by the Foundation of Yancheng Teachers University (07YCKL061)

Abstract:

In this article, the author uses the compensated compactness method coupled with some basic ideas of the kinetic formulation developed by Lions, Perthame, Souganidis and Tadmor to give a refined proof for the
existence of global entropy solutions to a system of quadratic flux. The fire-new method of reduction of Young measures is a pith of this work.

Key words: strong entropy, entropy solution, kinetic formulation

CLC Number: 

  • 35L65
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