Nonstationary heat conduction in three-dimensional bodies with nonsmooth inclusions

We study the problem of nonstationary heat conduction for a three-dimensional body containing a nonsmooth inclusion whose thermal contact with the matrix is perfect. By using thermal potentials determined and studied on nonsmooth surfaces. the problem is reduced to a solvable system of integral equations. The results are illustrated by analyzing. as an example. a jump of temperature in a three-dimensional body containing a circular conic inclusion.