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THE POINTWISE ESTIMATES TO SOLUTIONS FOR 1-DIMENSIONAL LINEAR THERMO-VISCO-ELASTIC SYSTEM

THE POINTWISE ESTIMATES TO SOLUTIONS FOR 1-DIMENSIONAL LINEAR THERMO-VISCO-ELASTIC SYSTEM
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摘要 In this paper, we study the linear thermo-visco-elastic system in one-dimensional space variable. The mathematical model is a hyperbolic-parabolic partial differential system. The solutions of the system show some decay property due to the parabolicity. Based on detailed analysis on the Green function of the system, the pointwise estimates of the solutions are obtained, from which the generalized Huygens’ principle is shown. In this paper, we study the linear thermo-visco-elastic system in one-dimensional space variable. The mathematical model is a hyperbolic-parabolic partial differential system. The solutions of the system show some decay property due to the parabolicity. Based on detailed analysis on the Green function of the system, the pointwise estimates of the solutions are obtained, from which the generalized Huygens’ principle is shown.
作者 郝兴文 彭少玉
机构地区 Mathematics Department School of Mathematics and Information
出处 《Acta Mathematica Scientia》 SCIE CSCD 2011年第4期1259-1271,共13页 数学物理学报（B辑英文版）
基金 Xingwen Hao's research was supported in part by National Natural Science Foundation of China (10571120 and 10971135) Shanghai Shuguang Project (06SG11) the Program for New Century Excellent Talents of Chinese Ministry of Education (NCET-07-0546) Doctorial Foundation of Weifang University (2011BS11)
关键词 thermo-visco-elastic system Fourier transform Green function pointwise estimate Huygens’ principle thermo-visco-elastic system Fourier transform Green function pointwise estimate Huygens’ principle
分类号 O175.27 [理学—基础数学]
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Acta Mathematica Scientia
2011年 第4期

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