Regularity for the Navier–Stokes equations with slip boundary condition

Bae, Hyeong-Ohk; Jin, Bum

doi:10.1090/S0002-9939-08-09472-0

Regularity for the Navier–Stokes equations with slip boundary condition
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by Hyeong-Ohk Bae and Bum Ja Jin PDF

Proc. Amer. Math. Soc. 136 (2008), 2439-2443 Request permission

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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