2 citations · 2 across the 3 of their papers we have counts for
4 papers
The stationary Boussinesq problem under singular forcing
Alejandro Allendes, Enrique Otarola, Abner J. Salgado
In Lipschitz two and three dimensional domains, we study the existence for the so--called Boussinesq model of thermally driven convection under singular forcing. By singular we mea…
A posteriori error estimates for the stationary Navier Stokes equations with Dirac measures
Alejandro Allendes, Enrique Otarola, Abner J. Salgado
In two dimensions, we propose and analyze an a posteriori error estimator for finite element approximations of the stationary Navier Stokes equations with singular sources on Lipsc…
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…
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…