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Navier-Stokes Equations
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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.Citations
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On the global existence of solutions to the Prandtl's system
Zhouping Xin,Liqun Zhang +1 more
TL;DR: In this paper, the authors established a global existence of weak solutions to the two-dimensional Prandtl's system for unsteady boundary layers in the class considered by Oleinik (J. Appl. Mech. 30 (1966) 951) provided that the pressure is favorable.
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Error estimates for a mixed finite element approximation of the Stokes equations
TL;DR: In this paper, a condition du type inf-sup which permet l'application des resultats abstraits de Babuska et Brezzi is defined, i.e., le nombre α depend seulement du plus grand angle interieur aux sommets de Ω and α=1 ou Ω est convexe.
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On the Strong Solvability of the Navier—Stokes Equations
TL;DR: In this paper, the strong solvability of Navier-Stokes equations for rough initial data was studied and it was shown that there exists essentially only one maximal strong solution and various concepts of generalized solutions coincide.
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Local exact controllability of the Navier-Stokes system ✩
TL;DR: A new Carleman inequality is presented for the linearized Navier–Stokes system, which leads to null controllability at any time T >0.
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Numerical Treatment of Defective Boundary Conditions for the Navier--Stokes Equations
TL;DR: A formulation for accommodating defective boundary conditions for the incompressible Navier--Stokes equations where only averaged values are prescribed on measurable portions of the boundary is presented.