2017
Том 69
№ 7

All Issues

Symmetry analysis and exact solutions of one class of (1 + 3)-dimensional boundary-value problems of the Stefan type

Kovalenko S. S.

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Abstract

We present the group classification of one class of (1 + 3)-dimensional nonlinear boundary-value problems of the Stefan type that model 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.

English version (Springer): Ukrainian Mathematical Journal 63 (2011), no. 10, pp 1534-1542.

Citation Example: Kovalenko S. S. Symmetry analysis and exact solutions of one class of (1 + 3)-dimensional boundary-value problems of the Stefan type // Ukr. Mat. Zh. - 2011. - 63, № 10. - pp. 1352-1359.

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