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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Remarks on the vanishing obstacle limit for a 3D viscous incompressible fluid
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by Dragoş Iftimie and James P. Kelliher PDF
Proc. Amer. Math. Soc. 137 (2009), 685-694 Request permission

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
  • Email: dragos.iftimie@univ-lyon1.fr
  • 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
  • Email: kelliher@math.ucr.edu
  • 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
  • © Copyright 2008 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 137 (2009), 685-694
  • MSC (2000): Primary 76D05
  • DOI: https://doi.org/10.1090/S0002-9939-08-09670-6
  • MathSciNet review: 2448591