Regularity Criteria for the Generalized MHD Equations

  title={Regularity Criteria for the Generalized MHD Equations},
  author={J. Wu},
  journal={Communications in Partial Differential Equations},
  pages={285 - 306}
  • J. Wu
  • Published 2008
  • Mathematics
  • Communications in Partial Differential Equations
  • This paper derives regularity criteria for the generalized magnetohydrodynamics (MHD) equations, a system of equations resulting from replacing the Laplacian −Δ in the usual MHD equations by a fractional Laplacian (−Δ)α. These criteria impose assumptions on the velocity field u alone and sharpen a result of He and Xin (2005). In addition, these criteria apply to the incompressible Navier–Stokes equations and improve some existing results. 
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