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A symmetrized velocity-vorticity formulation of the three-dimensional Stokes system. (Une formulation vitesse-tourbillon symétrisée du système de Stokes tridimensionnel.) (English. Abridged French version) Zbl 0923.76033
Summary: We give a formulation of the Stokes system in terms of velocity and vorticity, in a bounded three-dimensional domain, leading to the solution of symmetric problems only. This is basically achieved by the setting of a two-component vector boundary problem in order to determine the solenoidal harmonic component of the vorticity. The treatment of the incompressible Navier-Stokes equations by means of this approach is straightforward.

76D07 Stokes and related (Oseen, etc.) flows
35Q30 Navier-Stokes equations