Qualitative Analysis of Coating Flows on a Rotating Horizontal Cylinder
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 qual...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2012/570283 |
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| _version_ | 1832558065672519680 |
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| author | Marina Chugunova Roman M. Taranets |
| author_facet | Marina Chugunova Roman M. Taranets |
| author_sort | Marina Chugunova |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-d1c653f195f04012a53016c539adbd56 |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-d1c653f195f04012a53016c539adbd562025-02-03T01:33:27ZengWileyInternational Journal of Differential Equations1687-96431687-96512012-01-01201210.1155/2012/570283570283Qualitative Analysis of Coating Flows on a Rotating Horizontal CylinderMarina Chugunova0Roman M. Taranets1School of Mathematical Sciences, Claremont Graduate University, 710 N. College Avenue, Claremont, CA 91711, USASchool of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD, UKWe 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.http://dx.doi.org/10.1155/2012/570283 |
| spellingShingle | Marina Chugunova Roman M. Taranets Qualitative Analysis of Coating Flows on a Rotating Horizontal Cylinder International Journal of Differential Equations |
| title | Qualitative Analysis of Coating Flows on a Rotating Horizontal Cylinder |
| title_full | Qualitative Analysis of Coating Flows on a Rotating Horizontal Cylinder |
| title_fullStr | Qualitative Analysis of Coating Flows on a Rotating Horizontal Cylinder |
| title_full_unstemmed | Qualitative Analysis of Coating Flows on a Rotating Horizontal Cylinder |
| title_short | Qualitative Analysis of Coating Flows on a Rotating Horizontal Cylinder |
| title_sort | qualitative analysis of coating flows on a rotating horizontal cylinder |
| url | http://dx.doi.org/10.1155/2012/570283 |
| work_keys_str_mv | AT marinachugunova qualitativeanalysisofcoatingflowsonarotatinghorizontalcylinder AT romanmtaranets qualitativeanalysisofcoatingflowsonarotatinghorizontalcylinder |