Effect of Viscosity on the Transfer of Energy in Forced Water Waves

Abstract

It is known that when a localized pressure Po (X2+Z2) 112 exp(iwt) XH(t) is applied on the surface (y=O) of a deep or shallow unbounded non viscous liquid, no energy is transmitted through the liquid for the zeroes of Po ("Ng) , PoCk) being the zero-order Hankel transform of po(r) in r. It is explained here that the effect of viscosity is to ensure a continuous transfer of energy for all values of w.