On waiting time solutions, contact angles and stability of steady states in thin film models

Monday, March 26, 2018 - 2:10pm - 2:40pm
Lind 305
Marina Chugunova (Claremont Graduate University)
For thin liquid film coating viscous flows on different shapes of rotating substrates (spherical, cylindrical), taking into account surface tension and gravity, we show how stability of stationary solutions depends on values of the contact angles. We also show that for a certain range of contact angles in a partial wetting regimes lubrication approximation models admit unique strong non-negative solutions which exhibit waiting time phenomenon.
MSC Code: 
35K65, 35K41