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JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive

Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2022 Volume 204, Pages 66–73 (Mi into942)

On the solution of a nonstationary problem of heat and mass transfer in a multilayer medium by the method of integral representations

D. V. Turtina, M. A. Stepovichb, V. V. Kalmanovichb, E. V. Sereginac

a Plekhanov Russian State University of Economics, Moscow
b Tsiolkovsky Kaluga State University
c Bauman Moscow State Technical University

Abstract: In this paper, we discuss the possibility of using the method of integral representations (the Hankel method) for solving the nonstationary problem of heat and mass transfer in a semiconductor target. Some features of this approach to problems of heat and mass transfer in homogeneous and multilayer media are studied. We consider the example of two-dimensional diffusion of minority charge carriers generated by an electron probe. We show that a number of practical problems for multilayer targets with different layer parameters can be solved by the approach developed earlier for problems of heat and mass transfer in homogeneous semiconductor targets.

Keywords: mathematical model, differential equation of heat and mass transfer, partial derivative, Cauchy problem, electron probe, semiconductor, Hankel transform.

UDC: 517.951, 517.955

MSC: 35A22, 34N05, 35G16, 33C10

DOI: 10.36535/0233-6723-2022-204-66-73



© Steklov Math. Inst. of RAS, 2024