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Self-similar solutions of the equation that describes spreading of a liquidlayer due to intermolecular forces are found. It is supposed that, when thethickness of the layer reaches some magnitude of the order of the molecularsize, it turns into a monomolecular layer, which can be liquid or gaseous. Todescribe the spreading of a drop, the solutions of the equations that describeevolution of liquid or gaseous monomolecular layers are matched with theself-similar solutions with using relevant boundary conditions.

Spreading of a liquid drop over a plane rigid substrate due to intermolecular forces