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Vorticity-velocity formulation for the stationary Navier-Stokes equations: the three-dimensional case. (English) Zbl 0827.76016
Summary: We propose a mixed method for the vorticity-velocity formulation of the stationary Stokes and Navier-Stokes equations in three space dimensions, the unknowns being the vorticity and the velocity of the fluid.

MSC:
76D05 Navier-Stokes equations for incompressible viscous fluids
76D07 Stokes and related (Oseen, etc.) flows
Keywords:
mixed method
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References:
[1] Quartappelle, L., Numerical solutions of the Navier-Stokes equations, (1993), Birkhäuser Berlin
[2] Girault, V.; Raviart, R.A., Finite element method for Navier-Stokes equations. theory and algorithms, (1979), Springer-Verlag New York · Zbl 0396.65070
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[5] T. Tachim Medjo, Vorticity-velocity formulation for the stationary Navier-Stokes equations: The three-dimensional case (to appear). · Zbl 0827.76016
[6] T. Tachim Medjo, The Navier-Stokes equations in the vorticity-velocity formulation: The two dimensional case (to appear). · Zbl 0858.76018
[7] Temam, R., Navier-Stokes equations and functional analysis, () · Zbl 0438.76027
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