数学物理学报(英文版) ›› 2000, Vol. 20 ›› Issue (3): 322-334.

• 论文 • 上一篇    下一篇

GLOBAL ATTRACTOR OF NONLINEAR STRAIN
WAVES IN ELASTIC WAVEGUIDES

 戴正德, 郭柏灵   

  1. Department of Mathematics, Yunnan University, Kunming 650091, China P.O.Box 8009. Beijing 100088, China
  • 收稿日期:1998-05-24 修回日期:1999-06-03 出版日期:2000-05-20 发布日期:2000-05-20
  • 基金资助:

    Project Supported by National Natural Science Foundation of
    China (No.19861004)

GLOBAL ATTRACTOR OF NONLINEAR STRAIN
WAVES IN ELASTIC WAVEGUIDES

 DAI Zheng-De, GUO Bai-Ling   

  1. Department of Mathematics, Yunnan University, Kunming 650091, China P.O.Box 8009. Beijing 100088, China
  • Received:1998-05-24 Revised:1999-06-03 Online:2000-05-20 Published:2000-05-20
  • Supported by:

    Project Supported by National Natural Science Foundation of
    China (No.19861004)

摘要:

The initial-boundary value problem of the propagation of nonlinear longitudinal
elastic waves in an initially strained rod is considered. The rod is assumed to interact
with the surrouding elastic and viscous external medium. The long time behavior of solutions
are derived and global attractors in E1 space is obtained.

关键词:  Nonlinear strain waves, attractors

Abstract:

The initial-boundary value problem of the propagation of nonlinear longitudinal
elastic waves in an initially strained rod is considered. The rod is assumed to interact
with the surrouding elastic and viscous external medium. The long time behavior of solutions
are derived and global attractors in E1 space is obtained.

Key words:  Nonlinear strain waves, attractors

中图分类号: 

  • 35K57