Generalized Solvability of a Parabolic Model Describing Transfer Processes in Domains with Thin Inclusions
I. B. Tymchyshyn, D. A. Nomirovskii · Differential Equations · 2021
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.