Mathematical modeling of thermal diffusion processes for a decaying substance in a stochastically inhomogeneous stratified strip (Q2808457)

The authors study thermal diffusion processes in a two-phase randomly inhomogeneous stratified strip with allowance for substance decay. The contact-boundary value problem is stated in terms of the theory of binary systems in view of ideal contact conditions for temperature and non-ideal ones for concentration. A system of thermal diffusion equations is obtained for decaying particles of the whole body. Also, a system of integro-differential equations is obtained, being equivalent to the initial contact-boundary value problem. Its solution is constructed by the method of successive approximations. Random temperature and concentration fields are determined in the form of Neumann series. Conditions for absolute and uniform convergence of the series are established. The random fields are averaged over the set of phase configurations with uniform distribution function.