Acta mathematica scientia,Series B

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SOME RESULTS ON HYPERBOLIC SYSTEMS WITH RELAXATION

Wu Jintang; Zheng Yongshu   

  1. Department of Mathematics, Huaqiao University, Quanzhou 362011, China
  • Received:2005-01-16 Revised:1900-01-01 Online:2006-10-20 Published:2006-10-20
  • Contact: Wu Jintang

Abstract:

In this article, first, the authors prove that there exists a unique global smooth solution for the Cauthy problem to the hyperbolic conservation laws systems with relaxation; second, in the large time station, they prove that the global smooth solutions of the hyperbolic conservation laws systems with relaxation converge to rarefaction waves solution at a determined Lp (p[gteq]2) decay rate.

Key words: Hyperbolic systems with relaxation, global smoothly solution, rarefaction waves, decay estimate

CLC Number: 

  • 35L65
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