1. Conservation laws and Lie symmetries a (2+1)-dimensional thin film equation.
- Author
-
Recio, Elena, Garrido, Tamara M., de la Rosa, Rafael, and Bruzón, María S.
- Subjects
CONSERVATION laws (Physics) ,THIN films ,TRANSFORMATION groups ,CONSERVATION laws (Mathematics) ,NEWTONIAN fluids ,CONSERVED quantity - Abstract
This paper considers a generalized thin film equation in two spatial dimensions depending on three arbitrary functions. This equation describes the time evolution of a Newtonian liquid that is considerably thinner in one direction than in the other directions. We include a classification of point symmetries and the corresponding transformation groups. We derive all low-order local conservation laws of the equation in terms of the arbitrary functions. In addition, we discuss the physical meaning of the conserved quantities and provide a useful conservation identity. [ABSTRACT FROM AUTHOR]
- Published
- 2019
- Full Text
- View/download PDF