Article ID Journal Published Year Pages File Type
4616811 Journal of Mathematical Analysis and Applications 2013 17 Pages PDF
Abstract

We consider two Large Eddy Simulation (LES) models for the approximation of large scales of equations of Magnetohydrodynamics (MHD in the sequel). We study two αα-models, which are obtained adapting to the MHD the approach by Stolz and Adams with van Cittert approximate deconvolution operators. First, we prove the 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. Next, we also study the problem with filtering acting only on the velocity equation.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
, , ,