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Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 2019, Volume 167, Pages 21–26 (Mi into485)  

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

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

DOI: https://doi.org/10.36535/0233-6723-2019-167-21-26

Full text: PDF file (174 kB)
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UDC: 519.711.3
MSC: 97M60

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 2226, 2018. Part III, Itogi Nauki i Tekhniki. Ser. 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 2226, 2018. Part III
\serial Itogi Nauki i Tekhniki. Ser. 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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