Qualitative Analysis of Coating Flows on a Rotating Horizontal Cylinder | Zendy

Marina Chugunova | Zendy; Roman M. Taranets | Zendy

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Qualitative Analysis of Coating Flows on a Rotating Horizontal Cylinder

Author(s) -

Marina Chugunova,

Roman M. Taranets

Publication year - 2012

Publication title -

international journal of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.324

H-Index - 20

eISSN - 1687-9651

pISSN - 1687-9643

DOI - 10.1155/2012/570283

Subject(s) - cylinder , mathematics , degenerate energy levels , nonlinear system , partial differential equation , mathematical analysis , compressibility , mechanics , geometry , physics , quantum mechanics

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

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