数学物理学报(英文版) ›› 2004, Vol. 24 ›› Issue (3): 469-484.

• 论文 • 上一篇    下一篇

DECAY RATES AND CONVERGENCE OF
SOLUTIONS TO SYSTEM OF ONE-DIMENSIONAL
VISCOELASTIC MODEL WITH DAMPING

刘艳红,朱长江   

  1. Laboratory of Nonlinear Analysis, Department of Mathematics,
    Central China Normal University, Wuhan 430079, China
  • 出版日期:2004-07-20 发布日期:2004-07-20
  • 基金资助:

    The research was supported by the Natural Science Foundation of China
    (10171037) and the Key Project of Chinese Ministry of Education (104128), respectively.

DECAY RATES AND CONVERGENCE OF
SOLUTIONS TO SYSTEM OF ONE-DIMENSIONAL
VISCOELASTIC MODEL WITH DAMPING

 LIU Yan-Gong, SHU Chang-Jiang   

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

    The research was supported by the Natural Science Foundation of China
    (10171037) and the Key Project of Chinese Ministry of Education (104128), respectively.

摘要:

This paper considers the asymptotic behavior of solutions to the system of one-
dimensional viscoelastic model with damping and prove that the corresponding solutions
time-asymptotically behave like nonlinear diffusion wave as in [4,11]. In addition, It is also
shown that the system of one-dimensional viscoelastic model with damping is a viscosity
approximation of a hyperbolic conservation laws with damping.

Abstract:

This paper considers the asymptotic behavior of solutions to the system of one-
dimensional viscoelastic model with damping and prove that the corresponding solutions
time-asymptotically behave like nonlinear diffusion wave as in [4,11]. In addition, It is also
shown that the system of one-dimensional viscoelastic model with damping is a viscosity
approximation of a hyperbolic conservation laws with damping.

Key words: Viscoelastic model, damping;decay rate;convergence

中图分类号: 

  • 35L65