Analysis of a lubrication model through symmetry reductions
Departamento de Matemáticas, Universidad de Cádiz P.O. Box 40,
11510 Puerto Real, Cádiz, Spain
Accepted: 11 May 2001
We analyze the generalization of the one-dimensional version of a lubrication model by means of the theory of symmetry reductions of partial differential equations. It is found that some similarity solutions are solutions with physical interest: sink and source solutions, travelling-wave solutions, waiting-time solutions and blow-up solutions. Moreover some particular solutions among the above types of solutions are obtained.
PACS: 02.30.Jr – Partial differential equations / 02.20.Sv – Lie algebras of Lie groups
© EDP Sciences, 2001