A note on the Stokes operator and its powers

Jean-Luc Guermond, Abner Salgado

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


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.
Original languageEnglish (US)
Pages (from-to)241-250
Number of pages10
JournalJournal of Applied Mathematics and Computing
Issue number1-2
StatePublished - Apr 28 2010
Externally publishedYes

Bibliographical note

KAUST 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.


Dive into the research topics of 'A note on the Stokes operator and its powers'. Together they form a unique fingerprint.

Cite this