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JOURNALS // Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences // Archive

Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2021 Volume 25, Number 4, Pages 663–675 (Mi vsgtu1869)

Differential Equations and Mathematical Physics

Modeling of the “reaction–diffusion” transfer process in a nonlinear electromagnetic field

L. A. Uvarova, Ph. W. Linn

Moscow State Technological University (Stankin), Moscow, 127055, Russian Federation

Abstract: The paper deals with a model of two-component mass transfer in an inhomogeneous spherical system. A model of two-component mass transfer in an inhomogeneous spherical system occurring in a nonlinear electromagnetic field is investigated. It is shown that the concentration in the inner region, at the boundary of the regions, as well as the concentration that crossed the border and got into the second region, depend on the nonlinearity parameter of the electrodynamic problem.

Keywords: mass transfer, phase transition, nonlinear electrodynamic equations, heat and mass transfer.

UDC: 519.63:519.688

MSC: 35Q60

Received: May 13, 2021
Revised: November 30, 2021
Accepted: December 6, 2021
First online: December 13, 2021

DOI: 10.14498/vsgtu1869



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