Weak solutions to lubrication systems describing the evolution of bilayer thin films
Communications in Mathematical Sciences, vol.12, no.3, pp.527-544, 2014 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 12 Issue: 3
- Publication Date: 2014
- Doi Number: 10.4310/cms.2014.v12.n3.a7
- Journal Name: Communications in Mathematical Sciences
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.527-544
- Keywords: Bilayer systems, Lubrication equations, Slippage, Weak solutions
- Open Archive Collection: AVESIS Open Access Collection
- Middle East Technical University Northern Cyprus Campus Affiliated: No
Abstract
The existence of global non-negative weak solutions is proved for coupled onedimensional lubrication systems that describe the evolution of nanoscopic bilayer thin polymer films that take account of Navier-slip or no-slip conditions at both liquid-liquid and liquid-solid interfaces. In addition, in the presence of attractive van derWaals and repulsive Born intermolecular interactions existence of positive smooth solutions is shown. © 2014 International Press.