TY - JOUR
T1 - Weak solutions to lubrication equations in the presence of strong slippage
AU - Kitavtsev, Georgy
AU - Laurencot, Philippe
AU - Niethammer, Barbara
PY - 2011
Y1 - 2011
N2 - 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.
AB - 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.
UR - https://www.mis.mpg.de/publications/preprints/2010/prepr2010-66.html
U2 - 10.4310/MAA.2011.v18.n2.a4
DO - 10.4310/MAA.2011.v18.n2.a4
M3 - Article (Academic Journal)
SN - 1073-2772
VL - 18
SP - 183
EP - 202
JO - Methods and Applications of Analysis
JF - Methods and Applications of Analysis
IS - 2
ER -