Remarks on the vanishing obstacle limit for a 3D viscous incompressible fluid
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- by Dragoş Iftimie and James P. Kelliher
- Proc. Amer. Math. Soc. 137 (2009), 685-694
- DOI: https://doi.org/10.1090/S0002-9939-08-09670-6
- Published electronically: September 16, 2008
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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.References
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- D. Iftimie, M. C. Lopes Filho, and H. J. Nussenzveig Lopes, Two-dimensional incompressible viscous flow around a small obstacle, Math. Ann. 336 (2006), no. 2, 449–489. MR 2244381, DOI 10.1007/s00208-006-0012-z
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Bibliographic 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