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With a specially designed force, two different solutions from the same start are known.","posed_since":"1934","precise":"3D Navier-Stokes on $R^{3}$ with $f = 0$ and divergence-free $u_{0}$ in $L^{2}$: is the Leray-Hopf weak solution (u in L^inf_t L^2_x and L^2_t H^1_x, satisfying the energy inequality) unique? Albritton, Brue and Colombo proved non-uniqueness for a force $f\\ \\text{in}\\ L^{1}_{t} L^{2}_{x}$ built from an unstable self-similar profile. Answer: yes or no with proof.","problem_ref":null,"references":"","settled_by":"A proof of uniqueness for all $L^{2}$ data, or two distinct Leray-Hopf solutions from the same data with $f = 0$.","status_note":"Non-uniqueness with forcing was shown by Albritton, Brue and Colombo (Annals of Mathematics, 2022); the unforced case remains open.","title":"Uniqueness of Leray-Hopf weak solutions without 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