数学物理学报(英文版) ›› 2012, Vol. 32 ›› Issue (4): 1321-1332.doi: 10.1016/S0252-9602(12)60101-5

• 论文 • 上一篇    下一篇

GENERAL DECAY FOR A QUASILINEAR SYSTEM OF VISCOELASTIC EQUATIONS WITH NONLINEAR DAMPING

 Jong Yeoul Park, Sun Hye Park   

  1. Department of Mathematics, Pusan National University, Busan 609-735, South Korea
  • 收稿日期:2011-07-04 修回日期:2011-10-26 出版日期:2012-07-20 发布日期:2012-07-20
  • 通讯作者: Sun Hye Park,sh-park@pusan.ac.kr E-mail:jyepark@pusan.ac.kr; sh-park@pusan.ac.kr
  • 基金资助:

    This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (2011-0007870).

GENERAL DECAY FOR A QUASILINEAR SYSTEM OF VISCOELASTIC EQUATIONS WITH NONLINEAR DAMPING

 Jong Yeoul Park, Sun Hye Park   

  1. Department of Mathematics, Pusan National University, Busan 609-735, South Korea
  • Received:2011-07-04 Revised:2011-10-26 Online:2012-07-20 Published:2012-07-20
  • Contact: Sun Hye Park,sh-park@pusan.ac.kr E-mail:jyepark@pusan.ac.kr; sh-park@pusan.ac.kr
  • Supported by:

    This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (2011-0007870).

摘要:

In this paper, we consider a system of coupled quasilinear viscoelastic equa-tions with nonlinear damping. We use the perturbed energy method to show the general decay rate estimates of energy of solutions, which extends some existing results concerning a general decay for a single equation to the case of system, and a nonlinear system of viscoelastic wave equations to a quasilinear system.

关键词: general decay, coupled quasilinear equations, viscoelastic equations, per-turbed energy method

Abstract:

In this paper, we consider a system of coupled quasilinear viscoelastic equa-tions with nonlinear damping. We use the perturbed energy method to show the general decay rate estimates of energy of solutions, which extends some existing results concerning a general decay for a single equation to the case of system, and a nonlinear system of viscoelastic wave equations to a quasilinear system.

Key words: general decay, coupled quasilinear equations, viscoelastic equations, per-turbed energy method

中图分类号: 

  • 35L15