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Low regularity solutions for the Cauchy problem of the ideal incompressible Magnetohydrodynamics equations
In Lagrangian coordinates, the local well-posedness of low regularity solutions is established for an ideal incompressible magnetohydrodynamic (MHD) system subject to a homogeneous background magnetic field. First, the MHD system is reformulated into a degenerate wave-elliptic system with a particul
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