On the extension of Lie group analysis to functional differential equations

• Autorzy: Oberlack M. , Wacławczyk M.
• Języki publikacji: EN

Abstrakty

EN

In the present paper the classical point symmetry analysis is extended from partial differential to functional differential equations. In order to perform the group analysis and deal with the functional derivatives, we extend the quantities such as infinitesimal transformations, prolongations and invariant solutions. For the sake of example, the procedure is applied to the functional formulation of the Burgers equation. The method can further lead to important applications in continuum mechanics.

Słowa kluczowe

EN

functional differential equations; Lie group analysis; finite and infinitesimal transformations; generator X; invariant solutions; Burgers equations

PL

funkcjonalne równania różniczkowe; grupa Liego; skończone i nieskończenie małe transformacje; generator X; równania Burgersa

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2006
• Tom: Vol. 58, nr 6
• Strony: 597--618
• Opis fizyczny: Bibliogr. 23 poz.

Twórcy

autor

Oberlack M.

autor

Wacławczyk M.

• Fluid Dynamics Group, Darmstadt University of Technology, Petersenstrasse 13, 64287 Darmstadt, Germany

Bibliografia

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