Lie symmetry of a class of nonlinear boundary value problems with free boundaries

Roman Cherniha, and Sergii Kovalenko. "Lie symmetry of a class of nonlinear boundary value problems with free boundaries." Banach Center Publications 93.1 (2011): 95-104. <http://eudml.org/doc/282073>.

@article{RomanCherniha2011,
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.},
author = {Roman Cherniha, Sergii Kovalenko},
journal = {Banach Center Publications},
keywords = {process of melting and evaporation of solid materials; Lie symmetry method; boundary value problems of Stefan's type; Goodman substitution},
language = {eng},
number = {1},
pages = {95-104},
title = {Lie symmetry of a class of nonlinear boundary value problems with free boundaries},
url = {http://eudml.org/doc/282073},
volume = {93},
year = {2011},
}

TY - JOUR
AU - Roman Cherniha
AU - Sergii Kovalenko
TI - Lie symmetry of a class of nonlinear boundary value problems with free boundaries
JO - Banach Center Publications
PY - 2011
VL - 93
IS - 1
SP - 95
EP - 104
AB - 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.
LA - eng
KW - process of melting and evaporation of solid materials; Lie symmetry method; boundary value problems of Stefan's type; Goodman substitution
UR - http://eudml.org/doc/282073
ER -