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Article Dans Une Revue Methods and Applications of Analysis Année : 2011

Weak solutions to lubrication equations in the presence of strong slippage

Résumé

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.
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Dates et versions

hal-00542211 , version 1 (01-12-2010)

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Georgy Kitavtsev, Philippe Laurencot, Barbara Niethammer. Weak solutions to lubrication equations in the presence of strong slippage. Methods and Applications of Analysis, 2011, 18, pp.183-202. ⟨hal-00542211⟩
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