Numerical evidence indicates potential finite-time singularity formation in 3D axisymmetric ideal MHD, with square-profile blow-up for weak magnetic fields and cusp blow-up for strong ones.
An introduction to the navier-stokes initial-boundary value problem,
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Ideal incompressible axisymmetric MHD: Uncovering finite-time singularities
Numerical evidence indicates potential finite-time singularity formation in 3D axisymmetric ideal MHD, with square-profile blow-up for weak magnetic fields and cusp blow-up for strong ones.