Abstract
We study the stability of recently constructed self-similar blowup solutions to the incompressible Euler equation. A consequence of our work is the existence of finite-energy $C^{1,\alpha}$ solutions that become singular in finite time in a locally self-similar manner. As a corollary, we also observe that the Beale–Kato–Majda criterion cannot be improved in the class of $C^{1,\alpha}$ solutions.
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