The theory of diffusion in media with double diffusivity is described by a system of coupled linear partial differential equations of parabolic type. Uniqueness, maximum principles and basic source solutions are established in Part I of the paper. In Part II a technique for solving boundary-value problems is developed and applied to certain physically interesting cases. The results substantiate the theory and provided it with a definite form amenable to experimental verification.
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Aifantis et al. (1980) studied this question.
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