Article ID Journal Published Year Pages File Type
4664474 Acta Mathematica Scientia 2011 13 Pages PDF
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 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.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)