Abstract
The method of multiple scales is used to introduce a small-time scale into the non-linear diffusion equation modelling the spreading of a thin liquid drop under gravity. The Lie group method is used to analyse the resulting system. An approximate group invariant solution and an approximation to the waiting-time is obtained. A mathematical description of a spreading drop with non-infinite contact angle is obtained. This application to determining an approximation to the waiting-time is novel as it combines the method of multiple scales and Lie groups.
Original language | English |
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Pages (from-to) | 102-109 |
Number of pages | 8 |
Journal | Journal of Nonlinear Mathematical Physics |
Volume | 9 |
DOIs | |
Publication status | Published - 2002 |
Externally published | Yes |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics