Nature of the damping of the elevation of a free surface caused by its initial perturbation

The linearized Navier-Stokes equations are used to obtain an asymptotic solution to the Cauchy-Poisson problem of the excitation of waves on the surface of a viscous incompressible fluid of infinite depth, caused by the initial perturbation of the free surface concentrated at a single point. The initial perturbation took the form of an elevation of the surface. The method of successive integral transformations is used to represent the solution in an integral form.