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Regularity for the Navier-Stokes equations with slip boundary condition
Author(s):
Hyeong-Ohk
Bae;
Bum
Ja
Jin
Journal:
Proc. Amer. Math. Soc.
136
(2008),
2439-2443.
MSC (2000):
Primary 35Q30, 76D07
Posted:
March 6, 2008
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Additional information
Abstract:
For the Navier-Stokes equations with slip boundary conditions, we obtain the pressure in terms of the velocity. Based on the representation, we consider the relationship in the sense of regularity between the Navier-Stokes equations in the whole space and those in the half space with slip boundary data.
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Additional Information:
Hyeong-Ohk
Bae
Affiliation:
Department of Mathematics, Ajou University, Suwon 443-749, Korea
Email:
hobae@ajou.ac.kr
Bum
Ja
Jin
Affiliation:
Department of Mathematics, Mokpo National University, Muan 534-729, Korea
Email:
bumjajin@hanmail.net
DOI:
10.1090/S0002-9939-08-09472-0
PII:
S 0002-9939(08)09472-0
Keywords:
Navier-Stokes,
pressure representation,
slip boundary condition,
regularity
Received by editor(s):
January 14, 2006,
Received by editor(s) in revised form:
September 17, 2006
Posted:
March 6, 2008
Additional Notes:
The first author was supported by grant (R05-2002-000-00002-0(2002)) from the Basic Research Program of the Korea Science & Engineering Foundation.
Communicated by:
David S. Tartakoff
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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