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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2021, Volume 25, Number 4, Pages 663–675
DOI: https://doi.org/10.14498/vsgtu1869 (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
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DOI: https://doi.org/10.14498/vsgtu1869
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.
Funding agency Grant number
Russian Science Foundation 18-11-00247
This work was supported by the Russian Science Foundation (grant no. 18–11–00247).
Received: May 13, 2021
Revised: November 30, 2021
Accepted: December 6, 2021
First online: December 13, 2021
Bibliographic databases:
Document Type: Article
UDC: 519.63:519.688
MSC: 35Q60
Language: Russian
Citation: L. A. Uvarova, Ph. W. Linn, “Modeling of the “reaction–diffusion” transfer process in a nonlinear electromagnetic field”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 25:4 (2021), 663–675
Citation in format AMSBIB
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\by L.~A.~Uvarova, Ph.~W.~Linn
\paper Modeling of the ``reaction–diffusion'' transfer process in~a~nonlinear electromagnetic field
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2021
\vol 25
\issue 4
\pages 663--675
\mathnet{http://mi.mathnet.ru/vsgtu1869}
\crossref{https://doi.org/10.14498/vsgtu1869}
\zmath{https://zbmath.org/?q=an:7499966}
\elib{https://elibrary.ru/item.asp?id=47942922}
\edn{https://elibrary.ru/YZJNCU}
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