On the construction of solution of the heat equation in a multilayer medium with imperfect contact between the layers

Author:

Kalmanovich V1

Affiliation:

1. Tsiolkovsky Kaluga State University

Abstract

The paper considers the solution of a one-dimensional homogeneous equation of heat conduction in a multilayer. In this paper, the orthogonality of the obtained eigenfunctions is proved.

Publisher

RIOR Publishing Center

Subject

General Medicine

Reference7 articles.

1. CARSLAW, H. S., JAEGER, J. C. (1959) Conduction of Heat in Solids. Oxford: Oxford University Press., CARSLAW, H. S., JAEGER, J. C. (1959) Conduction of Heat in Solids. Oxford: Oxford University Press.

2. Степович, М. А., Калманович, В. В., Серегина, Е. В. О возможности приложе- ния матричного метода к моделированию катодолюминесценции, обусловленной широким электронным пучком в планарной многослойной полупроводниковой структуре // Известия Российской академии наук. Серия физическая. — 2020. — Т. 84. — No5. — C. 700–703., STEPOVICH, M. A., KALMANOVICH, V. V. & SEREGINA, E. V. (2020) Possibility of applying the matrix method to modeling the cathodoluminscescence caused by a wide electron beam in a planar multilayer semiconductor structures. Bulletin of the Russian Academy of Sciences: Physics. 84(5). p. 576–579.

3. Калманович, В. В., Серегина, Е. В., Степович, М. А. Математическое моделиро- вание явлений тепломассопереноса, обусловленных взаимодействием электрон- ных пучков с многослойными планарными полупроводниковыми структурами // Известия Российской академии наук. Серия физическая. — 2020. — Т. 84. — No7. — C. 1020–1026., KALMANOVICH, V. V., SEREGINA, E. V. & STEPOVICH, M. A., (2020) Mathematical modeling of heat and mass transfer phenomena caused by interaction between electron beams and planar semiconductor multilayers. Bulletin of the Russian Academy of Sciences: Physics. 84 (7). p. 844–850.

4. KALMANOVICH, V. V., KARTANOV, A. A. & STEPOVICH, M. A. (2021) On some problems of modelling the non-stationary heat conductivity process in an axisymmetric multilayer medium. Journal of Physics: Conference Series. 1902. p. 6012073., KALMANOVICH, V. V., KARTANOV, A. A. & STEPOVICH, M. A. (2021) On some problems of modelling the non-stationary heat conductivity process in an axisymmetric multilayer medium. Journal of Physics: Conference Series. 1902. p. 6012073.

5. BERS, L. & GELBART, A. (1944) On a class of functions defined by partial differential equations. Transactions of the American Mathematical Society. 56. p. 67–93., BERS, L. & GELBART, A. (1944) On a class of functions defined by partial differential equations. Transactions of the American Mathematical Society. 56. p. 67–93.

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