The small nanolayer's oscillations at the first steps of curving nanoroll

The article deals with one-dimension model of nanolayer dynamics. Nanolayer is assumed to be infinitive and put into viscous fluid. The model takes into account van der Waals force between the nanolayer and the substrate, forces of internal layer’s stress, fluids forces and collision with fluids’ molecules. The layer’s oscillations were studied, and analytical expression for layer’s deformation at arbitrary time was found. Also the computer modeling was done and the estimation on the time of layer’s separation was given.