Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2019, Volume 167, Pages 21–26
DOI: https://doi.org/10.36535/0233-6723-2019-167-21-26 (Mi into485) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On a two-dimensional boundary-value Stefan-type problem arising in cryosurgery

B. K. Buzdov

Institute for Informatics and Control of Regional Problems KBNC Russian Academy of Sciences, Nal'chik
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DOI: https://doi.org/10.36535/0233-6723-2019-167-21-26
Abstract: In this paper, we present the formulation and a method for solving the problem of freezing living biological tissue with a flat circular cryoapplicator. The model is a two-dimensional boundary-value problem of Stefan type with nonlinear heat sources of a special type that provide the actually observed spatial localization of the temperature field. Some results of computer simulation are presented.
Keywords: mathematical modeling, Stefan problem, cryomedicine, cryobiology.
Document Type: Article
UDC: 519.711.3
MSC: 97M60
Language: Russian
Citation: B. K. Buzdov, “On a two-dimensional boundary-value Stefan-type problem arising in cryosurgery”, Proceedings of the IV International Scientific Conference "Actual Problems of Applied Mathematics". Kabardino-Balkar Republic, Nalchik, Elbrus Region, May 22–26, 2018. Part III, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 167, VINITI, Moscow, 2019, 21–26
Citation in format AMSBIB
\Bibitem{Buz19}
\by B.~K.~Buzdov
\paper On a two-dimensional boundary-value Stefan-type problem arising in cryosurgery
\inbook Proceedings of the IV International Scientific Conference "Actual Problems of Applied Mathematics". Kabardino-Balkar Republic, Nalchik, Elbrus Region, May 22–26, 2018. Part III
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2019
\vol 167
\pages 21--26
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into485}
\crossref{https://doi.org/10.36535/0233-6723-2019-167-21-26}
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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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