Liouville-type theorem for the stationary fractional compressible MHD system in anisotropic Lebesgue spaces

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Abstract

This paper is devoted to the study of the Liouville-type theorem of the stationary fractional compressible MHD systems in anisotropic Lebesgue spaces in R³. We showed that the solution is trivial when certain anisotropic integrability conditions are satisfied in terms of the velocity and the magnetic field components.

Keywords

fractional compressible MHD system / Liouville-type theorem / anisotropic Lebesgue spaces

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