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On bounds of the drag for Stokes ow around a body without thickness

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Didier Bresch

On bounds of the drag for Stokes ow around a body without thickness

Comment.Math.Univ.Carolinae 38,4 (1997) 665-679.

Abstract: This paper is devoted to lower and upper bounds of the hydrodynamical dragT 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.

Keywords: Stokes flows, hydrodynamical drag, lower and upper bounds AMS Subject Classification: 76D07

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