2011/09/08 by Hani Ali, Ali, Hani
Engineering · Mathematics · #35Q30 #76D03 #76D05 #76F65 #Analysis of PDEs (math.AP) #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Navier-Stokes equation solutions #math.AP #msc:35Q30 #msc:76D03 #msc:76D05 #msc:76F65
paper · pdf · doi:10.48550/arxiv.1109.1682
25 pages. arXiv admin note: text overlap with arXiv:1204.3045
openalex publication_date 2011/09/08 · arxiv created 2012/12/27 · arxiv updated 2013/01/01 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28
In this paper, we consider two Approximate Deconvolution Magnetohydrodynamics models which are related to Large Eddy Simulation. We first study existence and uniqueness of solutions in the double viscous case. Then, we study existence and uniqueness of solutions of the Approximate Deconvolution MHD model with magnetic diffusivity, but without kinematic viscosity. In each case, we give the optimal value of regularizations where we can prove global existence and uniqueness of the solutions. The second model includes the Approximate Deconvolution Euler Model as a particular case. Finally, an asymptotic stability result is shown in the double viscous case with weaker condition on the regularization parameter.