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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc60-0-4,
author = {Gerhard Str\"ohmer},
title = {About the decay of surface waves on viscous fluids without surface tension},
journal = {Banach Center Publications},
volume = {60},
year = {2003},
pages = {55-72},
zbl = {1057.35034},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc60-0-4}
}
Gerhard Ströhmer. About the decay of surface waves on viscous fluids without surface tension. Banach Center Publications, Tome 60 (2003) pp. 55-72. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc60-0-4/