Acta mathematica scientia,Series B ›› 1996, Vol. 16 ›› Issue (2): 218-228.

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A KINETIC APPROACH TO SCALAR MULTI-DIMENSIONAL CONSERVATION LAWS

Ha Jiaxin   

  1. Young Scientists Laboratory of Wuhan Inst. of Math. Sci., Academia Sinica, Wuhan 430071, China
  • Received:1994-06-08 Revised:1995-07-16 Online:1996-06-25 Published:1996-06-25
  • Supported by:
    Supported by CNSF (Youth).

Abstract: This paper gives tile kinetic formulation of multi-dimensional conservation laws and proves the compactness of velocity averages by employing the compactness theorem in Lloc1(Rn×Rt). As a byproduct, the existence and uniqueness of the generalized solution is obtained.

Key words: Conservation Law, generalized solution, kinetic equation

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