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}
}
  • Michael J. Holst, Evelyn Lunasin, Tsogtgerel Gantumur
  • Published in J. Nonlinear Science 2010
  • Mathematics, Physics, Computer Science
  • Journal of Nonlinear Science
  • 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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