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The initial value problem for the non-homogeneous Navier—Stokes equations with general slip boundary condition

Published online by Cambridge University Press:  11 July 2007

S. Itoh  and
A. Tani
S. Itoh
Affiliation:
Department of Mathematics, Hirosaki University, Hirosaki 036, Japan
A. Tani
Affiliation:
Department of Mathematics, Keio University, Yokohama 223, Japan
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Abstract

The initial-boundary value problem for the non-homogeneous Navier-Stokes equations including the slipping on the solid boundary is considered. The unique solvability is established locally in time for the three-dimensional problem and globally in time for the two-dimensional problem without so-called smallness restrictions.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 130 , Issue 4 , August 2000 , pp. 827 - 835
Copyright
Copyright © Royal Society of Edinburgh 2001

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