SciCADE 2013
International Conference on Scientific Computation and Differential Equations
September 16-20, 2013, Valladolid (Spain)

Invited Talk

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On solvability of lubrication systems modelling evolution of two immiscible viscous thin liquid films

G. Kitavtsev, S. Jachalski and R. Taranets

Abstract
Existence of global nonnegative weak solutions is proved for coupled one-dimensional lubrication systems that describe evolution of nanoscopic bilayer immiscible thin polymer films and 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 der Waals and repulsive Born intermolecular interactions existence of positive smooth solutions is shown.

Organized by         Universidad de Valladolid     IMUVA