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Award ID contains: 1815069

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  1. ; ; (, Journal of Mathematical Fluid Mechanics)
    Full Text Available 
  2. ; (, Journal of Mathematical Fluid Mechanics)
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  3. (, Physica D: Nonlinear Phenomena)
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  4. (, Journal of differential equations)
    null (Ed.)
    Accepted Manuscript Full Text Available
  5. (, Journal of differential equations)
    null (Ed.)
    Accepted Manuscript Full Text Available
  6. (, SIAM Journal on Mathematical Analysis)
    Accepted Manuscript Full Text Available
  7. (, Discrete & Continuous Dynamical Systems - B)
    We introduce the concept of intermittency dimension for the magnetohydrodynamics (MHD) to quantify the intermittency effect. With dependence on the intermittency dimension, we derive phenomenological laws for intermittent MHD turbulence with and without the Hall effect. In particular, scaling laws of dissipation wavenumber, energy spectra and structure functions are predicted. Moreover, we are able to provide estimates for energy spectra and structure functions which are consistent with the predicted scalings. 
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  8. ; (, Contemporary mathematics)
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  9. ; (, Communications on Pure & Applied Analysis)
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  10. ; (, Journal of Mathematical Analysis and Applications)
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