Small-amplitude waves on the surface of a layer of a viscous liquid
Luca Cortelezzi, Andréa Prosperetti · Quarterly of Applied Mathematics · 1981
We study the initial-value problem posed by the small-amplitude waves on the surface of a layer of a viscous fluid of infinite lateral extent. The problem of the motion of the interface is reduced to an integro-differential equation which is solved by means of the Laplace transform. Explicit numerical results for illustrative cases are presented.