Qualitative Behaviour of Solutions in Two Models of Thin Liquid Films
For the thin-film model of a viscous flow which originates from lubrication approximation and has a full nonlinear curvature term, we prove existence of nonnegative weak solutions. Depending on initial data, we show algebraic or exponential dissipation of an energy functional which implies dissipati...
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Main Authors: | Matthew Michal, Marina Chugunova, Roman Taranets |
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Format: | Article |
Language: | English |
Published: |
Wiley
2016-01-01
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Series: | International Journal of Differential Equations |
Online Access: | http://dx.doi.org/10.1155/2016/4063740 |
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