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Artículo
Solutions of The 3D Navier-Stokes Equations for Initial Data In H¿1/2: Robustness of Regularity and Numerical Verification of Regularity for Bounded Sets of Initial Data In H¿1
(Elsevier, 2013)
We consider the three-dimensional Navier–Stokes equations on a periodic domain. We give a simple proof of the local existence of solutions in View the MathML source, and show that the existence of a regular solution on a ...
Artículo
Finite element discretization of the Stokes and Navier-Stokes equations with boundary conditions on the pressure
(Society for Industrial and Applied Mathematics, 2015)
We consider the Stokes and Navier–Stokes equations with boundary conditions of Dirichlet type on the velocity on one part of the boundary and involving the pressure on the rest of the boundary. We write the variational ...
Artículo
Asymptotic behavior of the Navier-Stokes system in a thin domain with Navier condition on a slightly rough boundary
(Society for Industrial and Applied Mathematics, 2013)
We study the asymptotic behavior of the solutions of the Navier–Stokes system in a thin domain Ωε of thickness ε satisfying the Navier boundary condition on a periodic rough set Γε ⊂ ∂Ωε of period rε and amplitude δε, with ...
Artículo
An augmented mixed finite element method for the Navier-Stokes equations with variable viscosity
(Society for Industrial and Applied Mathematics, 2016)
A new mixed variational formulation for the Navier–Stokes equations with constant density and variable viscosity depending nonlinearly on the gradient of velocity, is proposed and analyzed here. Our approach employs a ...