Research Information System
METHODS AND APPLICATIONS OF ANALYSIS, vol.18, no.2, pp.183-202, 2011 (Peer-Reviewed Journal)
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.