317 research outputs found
Suitable weak solutions to the 3D Navier-Stokes equations are constructed with the Voigt Approximation
In this paper we consider the Navier-Stokes equations supplemented with
either the Dirichlet or vorticity-based Navier boundary conditions. We prove
that weak solutions obtained as limits of solutions to the Navier-Stokes-Voigt
model satisfy the local energy inequality. Moreover, in the periodic setting we
prove that if the parameters are chosen in an appropriate way, then we can
construct suitable weak solutions trough a Fourier-Galerkin finite-dimensional
approximation in the space variables
Global regularity for systems with -structure depending on the symmetric gradient
In this paper we study on smooth bounded domains the global regularity (up to
the boundary) for weak solutions to systems having -structure depending only
on the symmetric part of the gradient.Comment: 19 pages. arXiv admin note: text overlap with arXiv:1607.0629
Convergence of approximate deconvolution models to the mean Magnetohydrodynamics Equations: Analysis of two models
We consider two Large Eddy Simulation (LES) models for the approximation of
large scales of the equations of Magnetohydrodynamics (MHD in the sequel). We
study two -models, which are obtained adapting to the MHD the approach
by Stolz and Adams with van Cittert approximate deconvolution operators. First,
we prove existence and uniqueness of a regular weak solution for a system with
filtering and deconvolution in both equations. Then we study the behavior of
solutions as the deconvolution parameter goes to infinity. The main result of
this paper is the convergence to a solution of the filtered MHD equations. In
the final section we study also the problem with filtering acting only on the
velocity equation
- …