@misc{10498/33318,
year = {2019},
url = {http://hdl.handle.net/10498/33318},
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},
keywords = {Thin film equation},
keywords = {Lie symmetries},
keywords = {Conservation laws},
keywords = {Conservation identity},
title = {Conservation laws and Lie symmetries of a (2+1)- dimensional thin film equation},
doi = {10.1007/s10910-018-0945-y},
author = {Recio Rodríguez, Elena and Garrido Letrán, Tamara María and Rosa Silva, Rafael de la and Bruzón Gallego, María de los Santos},
}