Event Type:

Graduate Student Summer Seminar

Date/Time:

Tuesday, August 2, 2022 - 14:00 to 15:00

Location:

Kidder 280

Local Speaker:

Abstract:

The one dimensional heat equation (u_t=a(t) u_xx) models the heat flow in a rod that is insulated everywhere. The forward problem is to determine the temperature distribution u(x,t) throughout the rod at time t>0 from the knowledge of the length of the rod, thermal conductivity, the initial temperature, boundary conditions, and the Neumann heat flux overdetermination condition. The inverse problem is to estimate the time varying parameter a(t). The aim of this talk is to estimate a(t) of a particular heat equation model from the knowledge of some known parameters.