Mathematical modelling of heat transfer processes in the region with mobile boundary at nonstationary heat exchange with external medium (Q2719541)

The authors study a three-dimensional problem of nonstationary heat conductivity for half-space bounded by the plane which is moving parallel to itself. It is assumed that the heat exchange coefficient with the external medium at each boundary point of the domain under consideration depends on the space coordinates of the point and on time. Proposed is the analytical method of solution of the problem which is based on the idea of core splitting of the generalized integral Fourier transform.