an:03868841
Zbl 0545.76029
Beale, J. T.
Large-time regularity of viscous surface waves
EN
Arch. Ration. Mech. Anal. 84, 307-352 (1984).
00149170
1984
j
76D05 76B15
surface waves; surface tension; singularities; unique solution; Sobolev norms; initial state is close to equilibrium
The incompressible fluid which obeys Navier-Stokes equations is subject to surface tension on its upper boundary. It is shown that singularities cannot develop in flows of sufficiently small amplitudes. A unique solution exists for all times in a space defined by Sobolev norms provided the initial state is close to equilibrium.
G.Boillat