Lie symmetry of a class of nonlinear boundary value problems with free boundaries
Volume 93 / 2011
Banach Center Publications 93 (2011), 95-104
MSC: Primary 80A22; Secondary, 22E70, 35K61.
DOI: 10.4064/bc93-0-8
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. A new definition of invariance in Lie's sense for BVP is presented and applied to the class of BVPs in question.
