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Generalized Solvability of a Parabolic Model Describing Transfer Processes in Domains with Thin Inclusions

Generalized Solvability of a Parabolic Model Describing Transfer Processes in Domains with Thin... We study a system of first-order partial differential equations with generalized functions ascoefficients that describes the heat and mass transfer process in domains with thin inclusions. It isproved that the operator of the problem is continuous and injective, and a theorem on theexistence and uniqueness of a generalized solution is also established. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

Generalized Solvability of a Parabolic Model Describing Transfer Processes in Domains with Thin Inclusions

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References (22)

Publisher
Springer Journals
Copyright
Copyright © Pleiades Publishing, Ltd. 2021
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/s0012266121080097
Publisher site
See Article on Publisher Site

Abstract

We study a system of first-order partial differential equations with generalized functions ascoefficients that describes the heat and mass transfer process in domains with thin inclusions. It isproved that the operator of the problem is continuous and injective, and a theorem on theexistence and uniqueness of a generalized solution is also established.

Journal

Differential EquationsSpringer Journals

Published: Aug 1, 2021

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