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• W2609033907 abstract "We consider fractional Navier-Stokes equations in a smooth bound-ed domain $Ωsubsetmathbb{R}^N$, $N≥2$. Following the geometric theory of abstract parabolic problems we give the detailed analysis concerning existence, uniqueness, regularization and continuation properties of the solution. For the original Navier-Stokes problem we construct next global solution of the Leray-Hopf type satisfying also Duhamel's integral formula. Focusing finally on the 3-D model with zero external force we estimate a time after which the latter solution regularizes to strong solution. We also estimate a time such that if a local strong solution exists until that time, then it exists for ever." @default.
• W2609033907 created "2017-05-05" @default.
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• W2609033907 date "2017-04-01" @default.
• W2609033907 modified "2023-09-23" @default.
• W2609033907 title "Fractional Navier-Stokes equations" @default.
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• W2609033907 doi "https://doi.org/10.3934/dcdsb.2017149" @default.
• W2609033907 hasPublicationYear "2017" @default.
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