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math.AP2017★ 2 cited
The Poisson and Stokes problems in nonconvex, Lipschitz polytopes
Enrique Otarola, Abner J. Salgado
We show the well-posedness of the Poisson and Stokes problems in weighted spaces over nonconvex, Lipschitz polytopes. For a particular range of , we consider those weights in th…
math.AP2017
On well-posedness of a velocity-vorticity formulation of the Navier-Stokes equations with no-slip boundary conditions
Maxim A. Olshanskii, Leo G. Rebholz, Abner J. Salgado
We study well-posedness of a velocity-vorticity formulation of the Navier--Stokes equations, supplemented with no-slip velocity boundary conditions, a no-penetration vorticity boun…