Qualitative Analysis of Coating Flows on a Rotating Horizontal Cylinder-Reference-Cited by-同舟云学术

Qualitative Analysis of Coating Flows on a Rotating Horizontal Cylinder

Published:2012 Issue: Volume:2012 Page:1-30
ISSN:1687-9643
Container-title:International Journal of Differential Equations
language:en
Short-container-title:International Journal of Differential Equations

Author:

Chugunova Marina¹,Taranets Roman M.²

Affiliation:

1. School of Mathematical Sciences, Claremont Graduate University, 710 N. College Avenue, Claremont, CA 91711, USA

2. School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD, UK

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.

Funder

European Community’s Seventh Framework Programme

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/ijde/2012/570283.pdf

Reference49 articles.

1. The effect of surface tension on rimming flows in a partially filled rotating cylinder

2. Steady and unsteady solutions for coating flow on a rotating horizontal cylinder: Two-dimensional theoretical and numerical modeling

3. The thin liquid lining of a weakly curved cylindrical tube