Lie symmetry of a class of nonlinear boundary value problems with free boundaries
Mathematical Physics
2012-11-28 v1 math.MP
Abstract
A class of (1+1)--dimensional nonlinear boundary value problems (BVPs), modeling the process of melting and evaporation of solid materials, is studied by means of the classical Lie symmetry method. New definition of invariance in Lie's sense for BVP is presented and applied for the class of BVPs in question.
Keywords
Cite
@article{arxiv.1211.6282,
title = {Lie symmetry of a class of nonlinear boundary value problems with free boundaries},
author = {Roman Cherniha and Sergii Kovalenko},
journal= {arXiv preprint arXiv:1211.6282},
year = {2012}
}
Comments
Published version. arXiv admin note: text overlap with arXiv:1012.5606