Explicit finite-time blowup solutions for 3D incompressible MHD are constructed with infinite energy and shown to be asymptotically stable in a time-dependent shrinking domain.
Alinhac, Existence d’ondes de rar´ efaction pour des syst` emes quasi-lin´ eaires hyper- boliques multidimensionnels
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Asymptotic stability of explicite infinite energy blowup solutions for three dimensional incompressible Magnetohydrodynamics equations
Explicit finite-time blowup solutions for 3D incompressible MHD are constructed with infinite energy and shown to be asymptotically stable in a time-dependent shrinking domain.