Acta mathematica scientia, Series B >
THE POINTWISE ESTIMATES TO SOLUTIONS FOR 1-DIMENSIONAL LINEAR THERMO-VISCO-ELASTIC SYSTEM
Received date: 2010-03-16
Online published: 2011-07-20
Supported by
Xingwen Hao’s research was supported in part by National Natural Science Foundation of China (10571120 and 10971135), Shanghai Shuguang Project (06SG11) and the Program for New Century Excellent Talents of Chinese Ministry of Education (NCET-07-0546) and Doctorial Foundation of Weifang University (2011BS11).
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 sys- tem. 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.
HAO Xin-Wen , PENG Shao-Yu . THE POINTWISE ESTIMATES TO SOLUTIONS FOR 1-DIMENSIONAL LINEAR THERMO-VISCO-ELASTIC SYSTEM[J]. Acta mathematica scientia, Series B, 2011 , 31(4) : 1259 -1271 . DOI: 10.1016/S0252-9602(11)60313-5
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