Note on Prodi-Serrin-Ladyzhenskaya type regularity criteria for the Navier-Stokes equations
Abstract
In this article we prove new regularity criteria of the Prodi-Serrin-Ladyzhenskaya type for the Cauchy problem of the three-dimensional incompressible 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 norms ||u||L3 and ||u||H1/2.
Citation
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 . https://doi.org/10.1063/1.4974020
Publication
Journal of Mathematical Physics
Status
Peer reviewed
ISSN
0022-2488Type
Journal article
Rights
© 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 https://doi.org/10.1063/1.4974020
Description
X.Y. is partially supported by the Discovery Grant No. RES0020476 from NSERC.Collections
Items in the St Andrews Research Repository are protected by copyright, with all rights reserved, unless otherwise indicated.