RT journal article
T1 Conservation laws and Lie symmetries of a (2+1)- dimensional thin film equation
A1 Recio Rodríguez, Elena
A1 Garrido Letrán, Tamara María
A1 Rosa Silva, Rafael de la
A1 Bruzón Gallego, María de los Santos
A2 Matemáticas
K1 Thin film equation
K1 Lie symmetries
K1 Conservation laws
K1 Conservation identity
AB This paper considers a generalized thin film equation in two spatial dimensionsdepending on three arbitrary functions. This equation describes the time evolutionof a Newtonian liquid that is considerably thinner in one direction than in the otherdirections. We include a classification of point symmetries and the correspondingtransformation groups. We derive all low-order local conservation laws of the equationin terms of the arbitrary functions. In addition, we discuss the physical meaningof the conserved quantities and provide a useful conservation identity
SN 0259-9791
YR 2019
FD 2019
LK http://hdl.handle.net/10498/33318
UL http://hdl.handle.net/10498/33318
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 21-sep-2026