The resolution of the Navier-Stokes equations in anisotropic spaces
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In this paper, the authors prove global existence and uniqueness for solutions of the 3-dimensional Navier-Stokes equations with small initial data in spaces which are Hdi in the i-th direction, d1 + d2 + d3 = 1 2, -1/2 < di < 1/2 and in a space which is L2 in the first two directions and B2,11/2 in third direction, where H and B denote the usual homogeneous Sobolev and Besov spaces.Citations
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References
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Book
Navier-Stokes Equations
TL;DR: Schiff's base dichloroacetamides having the formula OR2 PARALLEL HCCl2-C-N ANGLE R1 in which R1 is selected from the group consisting of alkenyl, alkyl, alkynyl and alkoxyalkyl; and R2 is selected by selecting R2 from the groups consisting of lower alkylimino, cyclohexenyl-1 and lower alkynyl substituted cycloenenyl -1 as discussed by the authors.
Book
Theory of function spaces
TL;DR: In this article, the authors measure smoothness using Atoms and Pointwise Multipliers, Wavelets, Spaces on Lipschitz Domains, Wavelet and Sampling Numbers.
On the Navier-Stokes equations
TL;DR: In this paper, a criterion for the convergence of numerical solutions of Navier-Stokes equations in two dimensions under steady conditions is given, which applies to all cases, of steady viscous flow in 2D.
Journal ArticleDOI
Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
Journal ArticleDOI
On the Navier-Stokes initial value problem. I
TL;DR: In this article, the authors considered the Navier-Stokes equation for 3-dimensional flows and deduced the existence theorems for 3D flows through a Hilbert space approach, making use of the theory of fractional powers of operators.