Heat conduction of orthotropic half-space for mixed discontinuous boundary conditions

The nonstationary temperature field in a half-space heated across a circular region with a known radius r=R over a surface z=0 of a semibounded body is found Outside the circular region r>R the initial temperature ϕ(r, 0, τ)=T(r, 0, τ)−T₀=0 is maintained on the surface z=0. Particular regularities of development of nonstationary temperature fileds along the axisr=0, z≥0 and over the surface z=0, 0≤r