Global regularity holds for smooth axisymmetric swirl-free solutions to the Euler equation in four dimensions under the generic condition that vorticity over radius squared lies in L^{2,1}.
H¨ older,¨Uber die unbeschr¨ ankte fortsetzbarkeit einer stetigen ebenen bewegung in einer unbegrenzten inkom- pressiblen fl¨ ussigkeit, Math
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Global regularity for axisymmetric, swirl-free solutions of the Euler equation in four dimensions
Global regularity holds for smooth axisymmetric swirl-free solutions to the Euler equation in four dimensions under the generic condition that vorticity over radius squared lies in L^{2,1}.