Analytical Study of Certain Magnetohydrodynamic-alpha Models

Simple item page
dc.creatorLinshiz, Jasmine S.
dc.creatorTiti, Edriss S.
dc.date2006-06-23
dc.date2006-12-01
dc.date.accessioned2026-07-07T08:32:41Z
dc.date.available2026-07-07T08:32:41Z
dc.descriptionIn this paper we present an analytical study of a subgrid scale turbulence model of the three-dimensional magnetohydrodynamic (MHD) equations, inspired by the Navier-Stokes-alpha (also known as the viscous Camassa-Holm equations or the Lagrangian-averaged Navier-Stokes-alpha model). Specifically, we show the global well-posedness and regularity of solutions of a certain MHD-alpha model (which is a particular case of the Lagrangian averaged magnetohydrodynamic-alpha model without enhancing the dissipation for the magnetic field). We also introduce other subgrid scale turbulence models, inspired by the Leray-alpha and the modified Leray-alpha models of turbulence. Finally, we discuss the relation of the MHD-alpha model to the MHD equations by proving a convergence theorem, that is, as the length scale alpha tends to zero, a subsequence of solutions of the MHD-alpha equations converges to a certain solution (a Leray-Hopf solution) of the three-dimensional MHD equations.
dc.description26 pages, no figures, will appear in Journal of Math Physics; corrected typos, updated references
dc.identifierhttps://arxiv.org/abs/math/0606603
dc.identifierhttp://arxiv.org/abs/math/0606603
dc.identifierJ. Math. Phys. 48, 065504 (2007) (28 pages)
dc.identifierdoi:10.1063/1.2360145
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/138872
dc.subjectAnalysis of PDEs
dc.subject76D03; 76W05; 76F20; 76F55; 76F65
dc.titleAnalytical Study of Certain Magnetohydrodynamic-alpha Models
dc.typetext

Files

Collections

arXiv