On a two-dimensional boundary-value Stefan-type problem arising in cryosurgery
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the IV International Scientific Conference "Actual Problems of Applied Mathematics". Kabardino-Balkar Republic, Nalchik, Elbrus Region, May 22–26, 2018. Part III, Tome 167 (2019), pp. 21-26
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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.
@article{INTO_2019_167_a2,
author = {B. K. Buzdov},
title = {On a two-dimensional boundary-value {Stefan-type} problem arising in cryosurgery},
journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
pages = {21--26},
publisher = {mathdoc},
volume = {167},
year = {2019},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/INTO_2019_167_a2/}
}
TY - JOUR AU - B. K. Buzdov TI - On a two-dimensional boundary-value Stefan-type problem arising in cryosurgery JO - Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory PY - 2019 SP - 21 EP - 26 VL - 167 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/INTO_2019_167_a2/ LA - ru ID - INTO_2019_167_a2 ER -
%0 Journal Article %A B. K. Buzdov %T On a two-dimensional boundary-value Stefan-type problem arising in cryosurgery %J Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory %D 2019 %P 21-26 %V 167 %I mathdoc %U http://geodesic.mathdoc.fr/item/INTO_2019_167_a2/ %G ru %F INTO_2019_167_a2
B. K. Buzdov. On a two-dimensional boundary-value Stefan-type problem arising in cryosurgery. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the IV International Scientific Conference "Actual Problems of Applied Mathematics". Kabardino-Balkar Republic, Nalchik, Elbrus Region, May 22–26, 2018. Part III, Tome 167 (2019), pp. 21-26. http://geodesic.mathdoc.fr/item/INTO_2019_167_a2/