Conservation laws and Lie symmetries of a (2+1)- dimensional thin film equation

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URI: http://hdl.handle.net/10498/33318

DOI: 10.1007/s10910-018-0945-y

ISSN: 0259-9791

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Author/s
Recio Rodríguez, ElenaAuthority UCA; Garrido Letrán, Tamara MaríaAuthority UCA; Rosa Silva, Rafael de laAuthority UCA; Bruzón Gallego, María de los SantosAuthority UCA
Date
2019
Department
Matemáticas
Source
Journal of Mathematical Chemistry - 57 (5) (2019) 1243–1251
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
Subjects
Thin film equation; Lie symmetries; Conservation laws; Conservation identity
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Attribution-NonCommercial-NoDerivatives 4.0 Internacional
This work is under a Creative Commons License Attribution-NonCommercial-NoDerivatives 4.0 Internacional