Lie symmetries and equivalence transformations for the Barenblatt-Gilman model

Identificadores
URI: http://hdl.handle.net/10498/27013
DOI: 10.1016/j.cam.2016.09.023
ISSN: 0377-0427
Statistics
Metrics and citations
Share
Metadata
Show full item recordDate
2017-07-01Department
MatemáticasSource
Journal of Computational and Applied Mathematics - 2017, Vol. 318 p.p. 253-258Abstract
In this paper we have considered the Barenblatt-Gilman equation which models the nonequilibrium countercurrent capillary impregnation. The equation of this model is a third-order equation and the unknown function concerns to the effective water saturation. We have applied the classical method to get the Lie group classification with respect to unknown function and we have constructed the equivalence transformations. We have also obtained the invariant solutions for some forms of the equation, including travelling wave solutions based on the Jacobi elliptic sine function.
Subjects
Barenblatt-Gilman equation; Lie group analysis; equivalence transformations; travelling wave solutionsCollections
- Artículos Científicos [4817]
- Artículos Científicos INIBICA [490]
- Articulos Científicos Matemáticas [161]