Browsing by Author "Taranets, Roman"

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    Weak solutions to lubrication systems describing the evolution of bilayer thin films
    (Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2012) Jachalski, Sebastian; Kitavtsev, Georgy; Taranets, Roman
    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 that take account of Navier-slip or no-slip conditions at both liquid-liquid and liquidsolid interfaces. In addition, in the presence of attractive van der Waals and repulsive Born intermolecular interactions existence of positive smooth solutions is shown.