Proves sharpness of the L^{3,1} endpoint for global existence in axisymmetric Euler by building multi-ring data in L^∞ with ω0/r in L^{3,q} (q>1) that trigger L^∞ vorticity inflation via an ODE cascade on ring amplitudes.
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Sharp Ill-Posedness of the Euler Equations in Lorentz Spaces
Proves sharpness of the L^{3,1} endpoint for global existence in axisymmetric Euler by building multi-ring data in L^∞ with ω0/r in L^{3,q} (q>1) that trigger L^∞ vorticity inflation via an ODE cascade on ring amplitudes.