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Mathematical analysis of a super-rotating shear layer in MHD

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TURW05 - Advances in geophysical and astrophysical turbulence

In this talk, we will consider the motion of a viscous incompressible and electrically conducting fluid between two rotating spheres and with an imposed exterior magnetic field. The inner sphere is a conductor, while the outer sphere is an insulator. Previous works by Hollerbach, Starchenko, and by Dormy et al. indicated that a shear layer is formed along the magnetic field line tangent to the outer boundary at the equatorial plane. Our purpose here is to provide a quantitative mathematical analysis for this phenomenon. This is a joint work with Jean Rax, following discussions with Emmanuel Dormy.

This talk is part of the Isaac Newton Institute Seminar Series series.

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