ON GLOBAL SOLUTIONS IN ONE-DIMENSIONAL THERMOELASTICITY WITH SECOND SOUND IN THE HALF LINE

被引：1

作者：

Hu, Yuxi ^{[1
]}

Wang, Na ^{[2
]}

机构：

[1] China Univ Min & Technol, Dept Math, Beijing 100083, Peoples R China

[2] Tianjin Univ Technol, Dept Math, Tianjin 300384, Peoples R China

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2015年 / 14卷 / 05期

关键词：

Second sound; half line; Dirichlet boundary condition; global solution; DISSIPATIVE HYPERBOLIC SYSTEMS; NONLINEAR THERMOELASTICITY; SMOOTH SOLUTIONS; EXPONENTIAL STABILITY; CAUCHY-PROBLEM; SINGULARITIES; EXISTENCE; EQUATIONS; DECAY;

D O I：

10.3934/cpaa.2015.14.1671

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the initial boundary value problem for one-dimensional thermoelasticity with second sound in the half line. By using delicate energy estimates, together with a special form of Helmholtz free energy, we are able to show the global solutions exist under the Dirichlet boundary condition if the initial data are sufficient small.

引用

页码：1671 / 1683

页数：13

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