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Estimates of suitable weak solutions to the Navier-Stokes equations in critical Morrey spaces

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We prove some estimates for suitable weak solutions to the nonstationary three-dimensional Navier-Stokes equations under the assumption that certain invariant functionals of the velocity field are bounded. Bibliography: 6 titles.

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References

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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 336, 2006, pp. 199–210.

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Seregin, G.A. Estimates of suitable weak solutions to the Navier-Stokes equations in critical Morrey spaces. J Math Sci 143, 2961–2968 (2007). https://doi.org/10.1007/s10958-007-0178-2

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  • DOI: https://doi.org/10.1007/s10958-007-0178-2

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