Articles

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

  • QIN Yu-Ming ,
  • LI Hai-Yan
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  • Department of Applied Mathematics, Donghua University, Shanghai 201620, China|College of Information Science and Technology, Donghua University, Shanghai 201620, China
LI Hai-Yan|haiyan.li96@yahoo.cn|wanlxw886@163.com

Received date: 2013-01-17

  Revised date: 2013-03-16

  Online published: 2014-05-20

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).

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.

Cite this article

QIN Yu-Ming , LI Hai-Yan . GLOBAL EXISTENCE AND EXPONENTIAL STABILITY OF SOLUTIONS TO THE QUASILINEAR THERMO-DIFFUSION EQUATIONS WITH SECOND SOUND[J]. Acta mathematica scientia, Series B, 2014 , 34(3) : 759 -778 . DOI: 10.1016/S0252-9602(14)60047-3

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