Articles

SPIRAL SOLUTION TO THE TWO-DIMENSIONAL TRANSPORT EQUATIONS

  • WANG Zhen ,
  • ZHANG Qing-Ling
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  • Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China

Received date: 2010-10-20

  Online published: 2010-11-20

Supported by

This work is partially supported by National Natural Science Foundation of China (10871199) and one hundred talent project from the Chinese Academy of Sciences.

Abstract

The existence of spiral solution for the two-dimensional transport equations is considered in the present paper. Based on  the notion of generalized solutions in the sense of Lebesgue-stieltjes integral, the global weak solution  of transport equations which includes δ-shocks and vacuum is constructed for some special initial data.

Cite this article

WANG Zhen , ZHANG Qing-Ling . SPIRAL SOLUTION TO THE TWO-DIMENSIONAL TRANSPORT EQUATIONS[J]. Acta mathematica scientia, Series B, 2010 , 30(6) : 2110 -2128 . DOI: 10.1016/S0252-9602(10)60195-6

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