Abstract
The water waves in three dimensions were studied by using both cylindrical and Cartesian co-ordinates. For water, the coefficient of kinematic viscosity, ν is small, hence we can conclude as bollows:
I. The velocity of propagation of the waves is almost the same with that in an ideal fluid. The modulus of decay is λ2/8π2±, λ being the wave length. The motion is nearly irrotational one.
II. By slight modifications, we can discuss the seiches of lakes, also.
III. The effects of atmosphere on water waves are negligibly small.
The effects of eddy viscosity were discussed, not fully.
