Weak solutions to lubrication equations in the presence of strong slippage

Georgy Kitavtsev, Philippe Laurencot, Barbara Niethammer

Research output: Contribution to journalArticle (Academic Journal)peer-review

Abstract

The existence of global weak solutions is proved for one-dimensional lubrication models that describe the dewetting process of nanoscopic thin polymer films on hydrophobyzed substrates and take account of large slippage at the polymer-substrate interface. The convergence of these solutions as either the Reynolds number or the capillarity goes to zero, as well as their limiting behaviour as the slip length goes to zero or infinity are investigated.
Original languageEnglish
Pages (from-to)183–202
Number of pages20
JournalMethods and Applications of Analysis
Volume18
Issue number2
DOIs
Publication statusPublished - 2011

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