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

  • S. S. Kovalenko Iн-т математики НАН України, Київ

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.
Published
25.10.2011
How to Cite
Kovalenko, S. S. “Symmetry Analysis and Exact Solutions of One Class of (1 + 3)-Dimensional Boundary-Value Problems of the Stefan Type”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 63, no. 10, Oct. 2011, pp. 1352-9, https://umj.imath.kiev.ua/index.php/umj/article/view/2811.
Section
Research articles