Physics – Mathematical Physics
Scientific paper
2006-10-27
Physics
Mathematical Physics
24 pages
Scientific paper
In the present paper the classical point symmetry analysis is extended from partial differential to functional differential equations with functional derivatives. 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 continuum limit of the heat equation. The method can further lead to significant applications in statistical physics and fluid dynamics.
Oberlack Martin
Waclawczyk Marta
No associations
LandOfFree
Application of Lie group analysis to functional differential equations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Application of Lie group analysis to functional differential equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Application of Lie group analysis to functional differential equations will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-169784