Nature of the damping of the elevation of a free surface caused by its initial perturbation
Abstract
The linearized NavierStokes equations are used to obtain an asymptotic solution to the CauchyPoisson 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.
 Publication:

Prikladnaia Matematika i Mekhanika
 Pub Date:
 April 1976
 Bibcode:
 1976PriMM..40..362P
 Keywords:

 Free Boundaries;
 Incompressible Fluids;
 Perturbation Theory;
 Surface Waves;
 Viscous Damping;
 Asymptotic Methods;
 Cauchy Problem;
 Fourier Transformation;
 Integral Transformations;
 Laplace Transformation;
 NavierStokes Equation;
 Fluid Mechanics and Heat Transfer