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

• Autorzy: Roman Cherniha , Sergii Kovalenko
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 80A22: Stefan problems, phase changes, etc.
• 22E70: Applications of Lie groups to physics; explicit representations
• 35K61: Nonlinear initial-boundary value problems for nonlinear parabolic equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2011
• Tom: 93
• Numer: 1
• Strony: 95-104

Daty

wydano

2011

Twórcy

autor

Roman Cherniha

• Institute of Mathematics, Ukrainian National Academy of Sciences, Tereshchenkivs'ka Street 3, Kyiv 01601, Ukraine

autor

Sergii Kovalenko

• Institute of Mathematics, Ukrainian National Academy of Sciences, Tereshchenkivs'ka Street 3, Kyiv 01601, Ukraine

Identyfikatory

DOI

10.4064/bc93-0-8