# Analysis of a General Family of Regularized Navier–Stokes and MHD Models

@article{Holst2010AnalysisOA, title={Analysis of a General Family of Regularized Navier–Stokes and MHD Models}, author={Michael J. Holst and Evelyn Lunasin and Tsogtgerel Gantumur}, journal={Journal of Nonlinear Science}, year={2010}, volume={20}, pages={523-567} }

We consider a general family of regularized Navier–Stokes and Magnetohydrodynamics (MHD) models on n-dimensional smooth compact Riemannian manifolds with or without boundary, with n≥2. This family captures most of the specific regularized models that have been proposed and analyzed in the literature, including the Navier–Stokes equations, the Navier–Stokes-α model, the Leray-α model, the modified Leray-α model, the simplified Bardina model, the Navier–Stokes–Voight model, the Navier–Stokes… CONTINUE READING

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