143 research outputs found
Weak solutions to lubrication systems describing the evolution of bilayer thin films
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 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
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