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math.AP2012
Weak solutions to lubrication systems describing the evolution of bilayer thin films
Sebastian Jachalski, Georgy Kitavtsev, Roman Taranets
The existence of global nonnegative weak solutions is proved for coupled one-dimensional lubrication systems that describe the evolution of nanoscopic bilayer thin polymer films th…
math.AP2012★ 1 cited
Stationary solutions of liquid two-layer thin film models
Sebastian Jachalski, Robert Huth, Georgy Kitavtsev +2
We investigate stationary solutions of a thin-film model for liquid two-layer flows in an energetic formulation that is motivated by its gradient flow structure. The goal is to ach…