2010/12/03 by Georgy Kitavtsev, Philippe Laurencot, Kitavtsev, Georgy +4
Chemical Engineering · Engineering · Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Fluid Dynamics and Thin Films #Nanofluid Flow and Heat Transfer #Rheology and Fluid Dynamics Studies #math.AP
paper · pdf · doi:10.48550/arxiv.1012.0687
arxiv created 2010/12/03 · openalex publication_date 2010/12/03 · arxiv updated 2010/12/06 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28
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.