About the decay of surface waves on viscous fluids without surface tension
Volume 60 / 2003
Banach Center Publications 60 (2003), 55-72
MSC: 35Q30, 35M10, 76D05, 16N10
DOI: 10.4064/bc60-0-4
Abstract
We study the decay of the motions of a viscous fluid subject to gravity without surface tension with a free boundary at the top. We show that the solutions of the linearization about the equilibrium state decay, but not exponentially in a uniform manner. We also discuss the consequences of this for the non-linear equations.
