Geodesic
About one mathematical model of cryodestruction
News of the Kabardin-Balkar scientific center of RAS, no. 1 (2011), pp. 273-276

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In this article the one-dimensional problem of Stefan’s type with logarithmic function of the sources of heat arising in cryosurgery is considered. On this example the problem of speed of distribution of borders of zones of cryodestruction, freezings and influences of a cold for a case of plane-parallel cryodestruction of a biological tissue is investigated. Numerically it became possible to find out a considerable delay of speed of distribution of the specified borders that confirms presence of effect of space localizsation of heat in similar models.
Keywords: mathematical model, cryosurgery, spatial localization of heat, the Stefan’s type problem, numerical methods. 
@article{IZKAB_2011_1_a49,
     author = {B. K. Buzdov},
     title = {About one mathematical model of cryodestruction},
     journal = {News of the Kabardin-Balkar scientific center of RAS},
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     number = {1},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IZKAB_2011_1_a49/}
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B. K. Buzdov. About one mathematical model of cryodestruction. News of the Kabardin-Balkar scientific center of RAS, no. 1 (2011), pp. 273-276. http://geodesic.mathdoc.fr/item/IZKAB_2011_1_a49/