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Existence and uniqueness results for a velocity formulation of Navier- Stokes equations in a channel. (English) Zbl 0833.35001
Our aim in this article is to obtain existence and uniqueness results for a new formulation of Navier-Stokes equations introduced by Kim, Moin and Moser in the case of a flow in a channel. We also prove that this formulation is equivalent to the usual one for regular solutions.
Reviewer: T.Dubois (Orsay)

MSC:
35A05 General existence and uniqueness theorems (PDE) (MSC2000)
76D05 Navier-Stokes equations for incompressible viscous fluids
35Q35 PDEs in connection with fluid mechanics
35B40 Asymptotic behavior of solutions to PDEs
76F99 Turbulence
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References:
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