数学物理学报(英文版)

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SOME RESULTS ON HYPERBOLIC SYSTEMS WITH RELAXATION

伍锦棠; 郑永树   

  1. 华侨大学数学系, 泉州 362011
  • 收稿日期:2005-01-16 修回日期:1900-01-01 出版日期:2006-10-20 发布日期:2006-10-20
  • 通讯作者: 伍锦棠
  • 基金资助:

    Foundation of office of overseas chinese affair under the state council: 03QZR09

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

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摘要：

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.

关键词: Hyperbolic systems with relaxation, global smoothly solution, rarefaction waves, decay estimate

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

中图分类号: 

  • 35L65
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