Articles

EXISTENCE OF GLOBAL SMOOTH SOLUTION FOR SCALAR CONSERVATION LAWS WITH DEGENERATE VISCOSITY IN 2-DIMENSIONAL SPACE

  • Chen Jing ,
  • Xu Xuewen
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  • Laboratory of Nonlinear Analysis, Department of Mathematics, Central China Normal University, Wuhan 430079, China

Received date: 2005-06-29

  Revised date: 1900-01-01

  Online published: 2007-04-20

Abstract

This article concerns the existence of global smooth solution for scalar conservation laws with degenerate viscosity in 2-dimensional space. The analysis is based on successive approximation and maximum principle.

Cite this article

Chen Jing , Xu Xuewen . EXISTENCE OF GLOBAL SMOOTH SOLUTION FOR SCALAR CONSERVATION LAWS WITH DEGENERATE VISCOSITY IN 2-DIMENSIONAL SPACE[J]. Acta mathematica scientia, Series B, 2007 , 27(2) : 430 -436 . DOI: 10.1016/S0252-9602(07)60043-5

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