Abstract:This paper is devoted to lower and upper bounds of the hydrodynamical drag $T$ for a body in a Stokes flow. \par 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.
Keywords: Stokes flows, hydrodynamical drag, lower and upper bounds
AMS Subject Classification: 76D07