This paper is devoted to lower and upper bounds of the hydrodynamical drag $T$ for a body in a Stokes flow. We obtain the upper bound since the solution for a flow in an annulus and therefore the hydrodynamical drag can be explicitly derived. The lower bound is obtained by comparison to the Newtonian capacity of a set and with the help of a result due to J. Simon $\,[10]$. The chosen approach provides an interesting lower bound which is independent of the interior of the body.
@article{118965,
author = {Didier Bresch},
title = {On bounds of the drag for Stokes flow around a body without thickness},
journal = {Commentationes Mathematicae Universitatis Carolinae},
volume = {38},
year = {1997},
pages = {665-679},
zbl = {1042.76516},
mrnumber = {1603690},
language = {en},
url = {http://dml.mathdoc.fr/item/118965}
}
Bresch, Didier. On bounds of the drag for Stokes flow around a body without thickness. Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) pp. 665-679. http://gdmltest.u-ga.fr/item/118965/
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