Regularity for the Navier–Stokes equations with slip boundary condition
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- by Hyeong-Ohk Bae and Bum Ja Jin
- Proc. Amer. Math. Soc. 136 (2008), 2439-2443
- DOI: https://doi.org/10.1090/S0002-9939-08-09472-0
- Published electronically: March 6, 2008
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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.References
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Bibliographic 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
- 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
- © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - 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
- MathSciNet review: 2390511