数学物理学报(英文版) ›› 2014, Vol. 34 ›› Issue (3): 759-778.doi: 10.1016/S0252-9602(14)60047-3

• 论文 • 上一篇    下一篇

GLOBAL EXISTENCE AND EXPONENTIAL STABILITY OF SOLUTIONS TO THE QUASILINEAR THERMO-DIFFUSION EQUATIONS WITH SECOND SOUND

秦玉明, 李海燕*   

  1. Department of Applied Mathematics, Donghua University, Shanghai 201620, China|College of Information Science and Technology, Donghua University, Shanghai 201620, China
  • 收稿日期:2013-01-17 修回日期:2013-03-16 出版日期:2014-05-20 发布日期:2014-05-20
  • 作者简介:李海燕|haiyan.li96@yahoo.cn|wanlxw886@163.com
  • 基金资助:

    Sponsored by the NNSF of China (11031003, 11271066, 11326158), a grant of Shanghai Education Commission (13ZZ048), and Chinese Universities Scientific Fund(CUSF-DH-D-2013068).

GLOBAL EXISTENCE AND EXPONENTIAL STABILITY OF SOLUTIONS TO THE QUASILINEAR THERMO-DIFFUSION EQUATIONS WITH SECOND SOUND

 QIN Yu-Ming, LI Hai-Yan*   

  1. Department of Applied Mathematics, Donghua University, Shanghai 201620, China|College of Information Science and Technology, Donghua University, Shanghai 201620, China
  • Received:2013-01-17 Revised:2013-03-16 Online:2014-05-20 Published:2014-05-20
  • About author:LI Hai-Yan|haiyan.li96@yahoo.cn|wanlxw886@163.com
  • Supported by:

    Sponsored by the NNSF of China (11031003, 11271066, 11326158), a grant of Shanghai Education Commission (13ZZ048), and Chinese Universities Scientific Fund(CUSF-DH-D-2013068).

摘要:

This article is devoted to the study of global existence and exponential stability of solutions to an initial-boundary value problem of the quasilinear thermo-diffusion equations with second sound by means of multiplicative techniques and energy method provided that the initial data are close to the equilibrium and the relaxation kernel is strongly positive definite and decays exponentially.

关键词: Thermo-diffusion equations, global existence, exponential stability, second sound, multiplicative techniques

Abstract:

This article is devoted to the study of global existence and exponential stability of solutions to an initial-boundary value problem of the quasilinear thermo-diffusion equations with second sound by means of multiplicative techniques and energy method provided that the initial data are close to the equilibrium and the relaxation kernel is strongly positive definite and decays exponentially.

Key words: Thermo-diffusion equations, global existence, exponential stability, second sound, multiplicative techniques

中图分类号: 

  • 35B35