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It is known that the energy of a weak solution to the Euler equation is conserved if it is slightly more regular than the Besov space B3,∞1/3. When the singular set of the solution is (or belongs to) a smooth manifold, we derive various Lp-space regularity criteria dimensionally equivalent to the critical one. In particular, if the singular set is a hypersurface the energy of u is conserved provided...
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