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...

Full description

Saved in:
Bibliographic Details
Main Authors: Matthew Michal, Marina Chugunova, Roman Taranets
Format: Article
Language:English
Published: Wiley 2016-01-01
Series:International Journal of Differential Equations
Online Access:http://dx.doi.org/10.1155/2016/4063740
Tags: Add Tag
No Tags, Be the first to tag this record!