| Issue |
Europhys. Lett.
Volume 55, Number 2, July 2001
|
|
|---|---|---|
| Page(s) | 143 - 149 | |
| Section | Interdisciplinary physics and related areas of science and technology | |
| DOI | https://doi.org/10.1209/epl/i2001-00393-0 | |
| Published online | 01 December 2003 | |
Analysis of a lubrication model through symmetry reductions
Departamento de Matemáticas, Universidad de Cádiz P.O. Box 40,
11510 Puerto Real, Cádiz, Spain
Received:
21
March
2001
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.