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Remarks on the vanishing obstacle limit for a 3D viscous incompressible fluid

Authors: Dragoş Iftimie and James P. Kelliher
Journal: Proc. Amer. Math. Soc. 137 (2009), 685-694
MSC (2000): Primary 76D05
Published electronically: September 16, 2008
MathSciNet review: 2448591
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Abstract: In [Math. Ann. 336 (2006), 449-489], the authors consider the two-dimensional Navier-Stokes equations in the exterior of an obstacle shrinking to a point and determine the limit velocity. Here we consider the same problem in the three-dimensional case, proving that the limit velocity is a solution of the Navier-Stokes equations in the full space.

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Additional Information

Dragoş Iftimie
Affiliation: Université de Lyon, Université Lyon 1, CNRS, UMR 5208 Institut Camille Jordan, Bâtiment du Doyen Jean Braconnier, 43, Blvd. du 11 Novembre 1918, F–69622 Villeurbanne Cedex, France

James P. Kelliher
Affiliation: Department of Mathematics, Brown University, Box 1917, Providence, Rhode Island 02912
Address at time of publication: Department of Mathematics, University of California, Riverside, 900 University Avenue, Riverside, California 92521
MR Author ID: 744311

Keywords: Navier-Stokes equations
Received by editor(s): January 18, 2008
Published electronically: September 16, 2008
Additional Notes: The second author was supported in part by NSF grant DMS-0705586 during the period of this work
Communicated by: Walter Craig
Article copyright: © Copyright 2008 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.