Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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ASYMPTOTIC STUDY OF MIXED ROTATING MHD SYSTEM

  • Selmi, Ridha (DEPARTEMENT DE MATHEMATIQUE FACULTE DES SCIENCES DE GABES)
  • Published : 2010.03.31
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Abstract

Asymptotic behavior of three-dimensional mixed, periodic and rotating magnetohydrodynamic system is investigated as the Rossby number goes to zero. The system presents the difficulty to be singular and mixed, that is hyperbolic in the vertical direction and parabolic in the horizontal one. The divergence free condition and the spectral properties of the penalization operator are crucial in the proofs. The main tools are the energy method, the Schochet's method and products laws in anisotropic Sobolev spaces.

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References

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