Applied Mathematics Seminar

Department of Mathematics, University of Texas at Arlington

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.