Abstract
We consider a nonlinear 4th-order degenerate parabolic partial differential equation that arises in modelling the dynamics of an incompressible thin liquid film on the outer surface of a rotating horizontal cylinder in the presence of gravity. The parameters involved determine a rich variety of qualitatively different flows. We obtain sufficient conditions for finite speed of support propagation and for waiting time phenomena by application of a new extension of Stampacchia's lemma for a system of functional equations.
Citation
Marina Chugunova. Roman M. Taranets. "Qualitative Analysis of Coating Flows on a Rotating Horizontal Cylinder." Int. J. Differ. Equ. 2012 1 - 30, 2012. https://doi.org/10.1155/2012/570283
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