We study a system of first-order partial differential equations with generalized functions as coefficients that describes the heat and mass transfer process in domains with thin inclusions. It is proved… Click to show full abstract
We study a system of first-order partial differential equations with generalized functions as coefficients that describes the heat and mass transfer process in domains with thin inclusions. It is proved that the operator of the problem is continuous and injective, and a theorem on the existence and uniqueness of a generalized solution is also established.
               
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