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A steady-state exterior Navier-Stokes problem that is not well-posed
Author(s):
Giovanni
P.
Galdi
Journal:
Proc. Amer. Math. Soc.
137
(2009),
679-684.
MSC (2000):
Primary 76D05, 76D03;
Secondary 76D07
Posted:
August 15, 2008
MathSciNet review:
2448590
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Additional information
Abstract:
We prove that the exterior Navier-Stokes problem with zero velocity at infinity is not well-posed in homogeneous Sobolev spaces. This result complements and clarifies well-known previous results obtained by various authors.
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Additional Information:
Giovanni
P.
Galdi
Affiliation:
Department of Mechanical Engineering and Materials Science, University of Pittsburgh, Pittsburgh, Pennsylvania 15261
Email:
galdi@engr.pitt.edu
DOI:
10.1090/S0002-9939-08-09658-5
PII:
S 0002-9939(08)09658-5
Keywords:
Navier-Stokes equations,
exterior problem,
homogeneous Sobolev spaces.
Received by editor(s):
January 9, 2008
Posted:
August 15, 2008
Additional Notes:
This work was supported in part by NSF Grant #DMS-0707281.
Communicated by:
Walter Craig
Copyright of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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