Regularity for the Navier-Stokes equations with slip boundary condition

Authors:
Hyeong-Ohk Bae and Bum Ja Jin

Journal:
Proc. Amer. Math. Soc. **136** (2008), 2439-2443

MSC (2000):
Primary 35Q30, 76D07

DOI:
https://doi.org/10.1090/S0002-9939-08-09472-0

Published electronically:
March 6, 2008

MathSciNet review:
2390511

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Abstract | References | Similar Articles | 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:
https://doi.org/10.1090/S0002-9939-08-09472-0

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

Published electronically:
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

Article copyright:
© Copyright 2008
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.