Some application of the implicit function theorem to the stationary Navier-Stokes equations
Konstanty Holly
Annales Polonici Mathematici, Tome 55 (1991), p. 93-109 / Harvested from The Polish Digital Mathematics Library
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We prove that - in the case of typical external forces - the set of stationary solutions of the Navier-Stokes equations is the limit of the (full) sequence of sets of solutions of the appropriate Galerkin equations, in the sense of the Hausdorff metric (for every inner approximation of the space of velocities). Then the uniqueness of the N-S equations is equivalent to the uniqueness of almost every of these Galerkin equations.

Publié le : 1991-01-01
EUDML-ID : urn:eudml:doc:262241 
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Konstanty Holly. Some application of the implicit function theorem to the stationary Navier-Stokes equations. Annales Polonici Mathematici, Tome 55 (1991) pp. 93-109. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv54z2p93bwm/

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