On the Matrix Method for Solving Heat Conduction Problems in a Multilayer Medium in the Presence of Phase Transitions

• Published in: Journal of mathematical sciences (New York, N.Y.) Vol. 267; no. 6; pp. 698 - 705
• Main Authors: Gladyshev, Yu. A., Kalmanovich, V. V.
• Format: Journal Article
• Language: English
• Published: New York Springer US 04.11.2022; Springer; Springer Nature B.V
• Subjects: Conduction heating; Conductive heat transfer; Heat sources; Mathematics; Mathematics and Statistics; Matrix methods; Multilayers; Phase transitions; Stationary processes; Symmetry; Temperature distribution; Thermodynamics; Transition points; 34B05; heat equation; mathematical model; matrix method; multilayer medium; phase transition; 34B60; 80A20

This paper is devoted to the applicability of the matrix method for solving the heat equation for multilayer media in the case where a phase transition is possible in some layer. We consider only stationary processes in the absence of internal heat sources. We propose a general method for layer syst...