A P ] 1 D ec 2 00 6 Analytical Study of Certain Magnetohydrodynamic-α Models

  title={A P ] 1 D ec 2 00 6 Analytical Study of Certain Magnetohydrodynamic-α Models},
  author={Jasmine Linshiz and Edriss S. Titi},
In this paper we present an analytical study of a subgrid scale turbulence model of the threedimensional magnetohydrodynamic (MHD) equations, inspired by the Navier-Stokes-α (also known as the viscous Camassa-Holm equations or the Lagrangian-averaged Navier-Stokes-α model. Specifically, we show the global well-posedness and regularity of solutions of a certain MHD-α model (which is a particular case of the Lagrangian averaged magnetohydrodynamic-α model without enhancing the dissipation for the… CONTINUE READING

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