On a singularly perturbed reaction-diffusion-transfer system in the case of slow diffusion and fast reactions

A system of two singularly perturbed reaction-diffusion-transfer equations is considered in the case of slow diffusion and fast reactions. By the boundary layer function method, the asymptotics of the solution is constructed with the help of a smoothing procedure. The estimate of the remainder terms of the asymptotics is obtained by using barrier functions.