Qualitative Analysis of Coating Flows on a Rotating Horizontal Cylinder

Marina Chugunova and Roman M. Taranets

International Journal of Differential Equations, 2012, vol. 2012, 1-30

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:570283

DOI: 10.1155/2012/570283

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