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

doi:10.1016/S0252-9602(11)60313-5

Abstract

Abstract:

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.

Key words: thermo-visco-elastic system, Fourier transform, Green function, pointwise estimate, Huygens’principle

CLC Number:

53A08

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.

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