Geodesic
On bounds of the drag for Stokes flow around a body without thickness
Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) no. 4, pp. 665-679.

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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.
Classification : 35Q35, 76D07
Keywords: Stokes flows; hydrodynamical drag; lower and upper bounds 
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     author = {Bresch, Didier},
     title = {On bounds of the drag for {Stokes} flow around a body without thickness},
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Bresch, Didier. On bounds of the drag for Stokes flow around a body without thickness. Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) no. 4, pp. 665-679. http://geodesic.mathdoc.fr/item/CMUC_1997__38_4_a5/