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The existence of global nonnegative weak solutions is proved for coupledone-dimensional lubrication systems that describe the evolution of nanoscopicbilayer thin polymer films that take account of Navier-slip or no-slipconditions at both liquid-liquid and liquid-solid interfaces. In addition, inthe presence of attractive van der Waals and repulsive Born intermolecularinteractions existence of positive smooth solutions is shown.

Weak solutions to lubrication systems describing the evolution of bilayer thin films