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We prove by an explicit construction that solutions to incompressible 3D Euler equations defined in the periodic cube Ω=[0,L]3 can be mapped bijectively to a new system of equations whose solutions are globally regular. We establish that the usual Beale–Kato–Majda criterion for finite-time singularity (or blowup) of a solution to the 3D Euler system is equivalent to a condition on the corresponding...
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