Despite much effort, the question of whether the Navier–Stokes equations allow solutions that develop singularities in finite time remains unresolved. Terence Tao discusses the problem, and possible routes to a solution.
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Tao, T. Searching for singularities in the Navier–Stokes equations. Nat Rev Phys 1, 418–419 (2019). https://doi.org/10.1038/s42254-019-0068-9
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DOI: https://doi.org/10.1038/s42254-019-0068-9
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