Lie symmetry of a class of nonlinear boundary value problems with free boundaries
Roman Cherniha ; Sergii Kovalenko
Banach Center Publications, Tome 95 (2011), p. 95-104 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2011-01-01
EUDML-ID : urn:eudml:doc:282073 
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     author = {Roman Cherniha and Sergii Kovalenko},
     title = {Lie symmetry of a class of nonlinear boundary value problems with free boundaries},
     journal = {Banach Center Publications},
     volume = {95},
     year = {2011},
     pages = {95-104},
     zbl = {1244.80004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc93-0-8}
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Roman Cherniha; Sergii Kovalenko. Lie symmetry of a class of nonlinear boundary value problems with free boundaries. Banach Center Publications, Tome 95 (2011) pp. 95-104. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc93-0-8/