Geodesic
One-phase spherical Stefan problem with temperature dependent coefficients
Eurasian mathematical journal, Tome 12 (2021) no. 1, pp. 49-56

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The one-phase spherical Stefan problem with coefficients depending on the temperature is considered. The method of solving is based on the similarity principle, which enables us to reduce this problem to a nonlinear ordinary differential equation, and then to an equivalent nonlinear integral equation of the Volterra type. It is shown that the obtained integral operator is a contraction operator and a unique solution exists. 
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     author = {S. N. Kharin and T. A. Nauryz},
     title = {One-phase spherical {Stefan} problem with temperature dependent coefficients},
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     url = {http://geodesic.mathdoc.fr/item/EMJ_2021_12_1_a4/}
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S. N. Kharin; T. A. Nauryz. One-phase spherical Stefan problem with temperature dependent coefficients. Eurasian mathematical journal, Tome 12 (2021) no. 1, pp. 49-56. http://geodesic.mathdoc.fr/item/EMJ_2021_12_1_a4/