Note on Prodi-Serrin-Ladyzhenskaya type regularity criteria for the Navier-Stokes equations
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In this article we prove new regularity criteria of the Prodi-Serrin-Ladyzhenskaya type for the Cauchy problem of the three-dimensional Navier-Stokes equations. Our results improve the classical Lr(0,T;Ls) regularity criteria for both velocity and pressure by factors of certain nagative powers of the scaling invariant norm ||u||L3 and ||u||H1/2.
Tran , C V & Yu , X 2017 , ' Note on Prodi-Serrin-Ladyzhenskaya type regularity criteria for the Navier-Stokes equations ' Journal of Mathematical Physics , vol 58 , no. 1 , 011501 . DOI: 10.1063/1.4974020
Journal of Mathematical Physics
© 2017, the Author(s). This work has been made available online in accordance with the publisher’s policies. This is the author created, accepted version manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at aip.scitation.org / https://dx.doi.org/10.1063/1.4974020
X.Y. is partially supported by the Discovery Grant No. RES0020476 from NSERC.
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