For suitable weak solutions to the Navier–Stokes equations, a new sufficient condition for the uniform boundedness of the scale invariant energy functionals near a boundary point is established.
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Published in Zapiski Nauchnykh Seminarov POMI, Vol. 477, 2018, pp. 136–149.
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Chernobay, M. On Type I Blow up for The Navier–Stokes Equations Near the Boundary. J Math Sci 244, 1015–1024 (2020). https://doi.org/10.1007/s10958-020-04672-w
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DOI: https://doi.org/10.1007/s10958-020-04672-w