The so-called Stokes operator is an important tool in the analysis of the solutions of the Navier-Stokes equations and their numerical approximation. The aim of this note is to clarify certain properties of the fractional powers of this operator which are sometimes misused. © 2010 Korean Society for Computational and Applied Mathematics.
Bibliographical noteKAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): KUS-C1-016-04
Acknowledgements: This publication is based on work supported by Award No. KUS-C1-016-04, madeby King Abdullah University of Science and Technology (KAUST). JLG is partially supported by theNational Science Foundation grant NSF-DMS (0713829).
This publication acknowledges KAUST support, but has no KAUST affiliated authors.