Abstract
Soit Ω un domaine exterieur de R n (n=3,4) a frontiere lisse ∂Ω. Sur le cylindre d'espace temps Ω×[0,∞) on considere le probleme de Navier-Stokes non stationnaire: u t −Δu+u•⊇u+⊇p=f dans Ω×(0,∞), ⊇•u=0 dans Ω×(0,∞), u=0 sur ∂Ω×(0,∞), u(x,0)=a(x) avec des donnees prescrites f et a
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