Geodesic
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/}
}
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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/