GLOBAL EXISTENCE AND EXPONENTIAL STABILITY OF SOLUTIONS TO THE QUASILINEAR THERMO-DIFFUSION EQUATIONS WITH SECOND SOUND 被引量：2

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

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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. 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.

作者秦玉明李海燕

机构地区 Department of Applied Mathematics College of Information Science and Technology

出处《Acta Mathematica Scientia》 SCIE CSCD 2014年第3期759-778,共20页 数学物理学报（B辑英文版）

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

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

分类号 O175 [理学—基础数学]

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参考文献38

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GLOBAL EXISTENCE AND EXPONENTIAL STABILITY OF SOLUTIONS TO THE QUASILINEAR THERMO-DIFFUSION EQUATIONS WITH SECOND SOUND 被引量：2

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