We present the group classification of one class of (1 + 3)-dimensional nonlinear boundary-value problems of the Stefan type that simulate the processes of melting and evaporation of metals. The results obtained are used for the construction of the exact solution of one boundary-value problem from the class under study.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 63, No. 10, pp. 1352–1359, October, 2011.
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Kovalenko, S.S. Symmetry analysis and exact solutions of one class of (1 + 3)-dimensional boundary-value problems of the Stefan type. Ukr Math J 63, 1534–1542 (2012). https://doi.org/10.1007/s11253-012-0598-0
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DOI: https://doi.org/10.1007/s11253-012-0598-0