On bounds of the drag for Stokes flow around a body without thickness
Didier Bresch · Czech digital mathematics library · 1997
summary: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.