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Displaying similar documents to “A lower bound for the principal eigenvalue of the Stokes operator in a random domain”

The resolution of the Navier-Stokes equations in anisotropic spaces.

Dragos Iftimie (1999)

Revista Matemática Iberoamericana

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In this paper we prove global existence and uniqueness for solutions of the 3-dimensional Navier-Stokes equations with small initial data in spaces which are H in the i-th direction, δ + δ + δ = 1/2, -1/2 < δ < 1/2 and in a space which is L in the first two directions and B in the third direction, where H and B denote the usual homogeneous Sobolev and Besov spaces.

Well-posedness of the Euler and Navier-Stokes equations in the Lebesque spaces L (R).

Tosio Kato, Gustavo Ponce (1986)

Revista Matemática Iberoamericana

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In this paper we show that the Euler equation for incompressible fluids in R2 is well posed in the (vector-valued) Lebesgue spaces Ls p = (1 - ∆)-s/2 Lp(R2) with s > 1 + 2/p, 1 < p < ∞ and that the same is true of the Navier-Stokes equation uniformly in the viscosity ν.