Generalized MHD equations

@article{Wu2003GeneralizedME,
  title={Generalized MHD equations},
  author={J. Wu},
  journal={Journal of Differential Equations},
  year={2003},
  volume={195},
  pages={284-312}
}
  • J. Wu
  • Published 2003
  • Mathematics
  • Journal of Differential Equations
  • Abstract Solutions of the d-dimensional generalized MHD (GMHD) equations ∂ t u+u· ∇ u=− ∇ P+b· ∇ b−ν(− Δ ) α u, ∂ t b+u· ∇ b=b· ∇ u−η(− Δ ) β b are studied in this paper. We pay special attention to the impact of the parameters ν,η,α and β on the regularity of solutions. Our investigation is divided into three major cases: (1) ν>0 and η>0, (2) ν=0 and η>0, and (3) ν=0 and η=0. When ν>0 and η>0, the GMHD equations with any α>0 and β>0 possess a global weak solution corresponding to any L2… CONTINUE READING
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