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

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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 
@article{CMUC_1997__38_4_a5,
     author = {Bresch, Didier},
     title = {On bounds of the drag for {Stokes} flow around a body without thickness},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {665--679},
     publisher = {mathdoc},
     volume = {38},
     number = {4},
     year = {1997},
     mrnumber = {1603690},
     zbl = {1042.76516},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1997__38_4_a5/}
}
TY  - JOUR
AU  - Bresch, Didier
TI  - On bounds of the drag for Stokes flow around a body without thickness
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 1997
SP  - 665
EP  - 679
VL  - 38
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMUC_1997__38_4_a5/
LA  - en
ID  - CMUC_1997__38_4_a5
ER  - 
%0 Journal Article
%A Bresch, Didier
%T On bounds of the drag for Stokes flow around a body without thickness
%J Commentationes Mathematicae Universitatis Carolinae
%D 1997
%P 665-679
%V 38
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMUC_1997__38_4_a5/
%G en
%F CMUC_1997__38_4_a5
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/