Friday, February 24, 2012

1202.5138 (Ding-jiang Huang et al.)

Group properties and invariant solutions of a sixth-order thin film
equation in viscous fluid

Ding-jiang Huang, Qin-min Yang, Shuigeng Zhou
Using group theoretical methods, we analyze the generalization of a
one-dimensional sixth-order thin film equation which arises in considering the
motion of a thin film of viscous fluid driven by an overlying elastic plate.
The most general Lie group classification of point symmetries, its Lie algebra,
and the equivalence group are obtained. Similar reductions are performed and
invariant solutions are constructed. It is found that some similarity solutions
are of great physical interest such as sink and source solutions,
travelling-wave solutions, waiting-time solutions, and blow-up solutions.
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