数学物理学报(英文版)

• 论文 • 上一篇    下一篇

CONVERGENCE RATES TO TRAVELLING WAVES FOR A RELAXATION MODEL WITH LARGE INITIAL DISTURBANCE

张辉,赵引川   

  1. Department of Mathematics, Beijing Normal University, Beijing 100825, China Institute of Computational Mathematics and Scientific/Engineering Computing,
    Academy of Mathematics and System Sciences, The Chinese Academy of Sciences, Beijing 100080, China
  • 出版日期:2004-07-20 发布日期:2004-07-20
  • 基金资助:

    The subject is supported by National Natural Sciences Foundation of
    China(10001036).

CONVERGENCE RATES TO TRAVELLING WAVES FOR A RELAXATION MODEL WITH LARGE INITIAL DISTURBANCE

 ZHANG Hui, DIAO Yin-Chuan   

  • Online:2004-07-20 Published:2004-07-20
  • Supported by:

    The subject is supported by National Natural Sciences Foundation of
    China(10001036).

摘要:

This paper is concerned with the convergence rates to travelling waves for
a relaxation model with general flux functions. Compared with former results in this
direction, the main novelty in this paper lies in the fact that the initial disturbance can be
chosen large in suitable norm. Our analysis is based on the L1-stability results obtained
by C. Mascia and R. Natalini in [12].

Abstract:

This paper is concerned with the convergence rates to travelling waves for
a relaxation model with general flux functions. Compared with former results in this
direction, the main novelty in this paper lies in the fact that the initial disturbance can be
chosen large in suitable norm. Our analysis is based on the L1-stability results obtained
by C. Mascia and R. Natalini in [12].

Key words: Convergence rate, relaxation, travelling waves, large initial disturbance

中图分类号: 

  • 35L60