### Applied Mathematics Seminar

Department of Mathematics, University of Texas at Arlington

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__Date/Time/Room:__ Thursday (11/16/2000) at 3:30 pm in 487 Pickard Hall
(Refreshments served at 3:00 pm)

__Speaker:__
A. Haji-Sheikh,
Department of Mechanical and Aerospace Engineering,
University of Texas at Arlington

*``A Green's Function Solution of the Thermal Wave
Equation''*

**Abstract:**
In microscale and nanoscale thermal applications, the classical diffusion theory, based
on the assumption of local thermal equilibrium, is not valid. The classical theory of
heat conduction breaks down for conduction in thin films or at low
temperature. Various investigations have shown that a wave-type conduction equation can
adequately describe the thermal energy transport for some applications. An attempt is
made to describe a general three-dimensional solution technique when the wave nature of
thermal energy transport is dominant. A Green's function solution for the
three-dimensional, wave-type conduction equation is presented. The convergence of this
solution for finite bodies is one topic of this presentation.