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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2022, Volume 206, Pages 133–137
DOI: https://doi.org/10.36535/0233-6723-2022-206-133-137 (Mi into971) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the well-posedness of a model problem of heat and mass transfer in homogeneous semiconductor targets

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

a Plekhanov Russian State University of Economics, Moscow
b Tsiolkovsky Kaluga State University
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DOI: https://doi.org/10.36535/0233-6723-2022-206-133-137
Abstract: Based on the methods of the qualitative theory of differential equations, we examine the well-posedness of the mathematical model of one-dimensional diffusion of nonequilibrium charge carriers generated by an electron beam. We prove the continuous dependence of solutions on input data and obtain estimates of the influence of errors in the initial data on the distribution of the diffusing impurity. The results obtained can be used in electron probe technologies.
Keywords: mathematical model, diffusion equation, Cauchy problem, semiconductor, well-posedness.
Funding agency Grant number
Russian Foundation for Basic Research 19-03-00271
18-41-400001
This work was supported by the Russian Foundation for Basic Research and the Government of the Kaluga Region (project Nos. 19-03-00271 and 18-41-400001).
Document Type: Article
UDC: 517.927.21, 517.911.5, 51-73
MSC: 34B05, 34C60, 80A19
Language: Russian
Citation: D. V. Turtin, V. V. Kalmanovich, M. A. Stepovich, “On the well-posedness of a model problem of heat and mass transfer in homogeneous semiconductor targets”, Proceedings of the Voronezh International Winter Mathematical School "Modern Methods of Function Theory and Related Problems", Voronezh, January 28 - February 2, 2021, Part 1, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 206, VINITI, Moscow, 2022, 133–137
Citation in format AMSBIB
\Bibitem{TurKalSte22}
\by D.~V.~Turtin, V.~V.~Kalmanovich, M.~A.~Stepovich
\paper On the well-posedness of a model problem of heat and mass transfer in homogeneous semiconductor targets
\inbook Proceedings of the Voronezh International Winter Mathematical School "Modern Methods of Function Theory and Related Problems", Voronezh, January 28 - February 2, 2021, Part 1
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2022
\vol 206
\pages 133--137
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into971}
\crossref{https://doi.org/10.36535/0233-6723-2022-206-133-137}
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