A note on the Stokes operator and its powers

Jean-Luc Guermond; Abner Salgado

doi:10.1007/s12190-010-0400-0

A note on the Stokes operator and its powers

Jean-Luc Guermond, Abner Salgado

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

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 language	English (US)
Pages (from-to)	241-250
Number of pages	10
Journal	Journal of Applied Mathematics and Computing
Volume	36
Issue number	1-2
DOIs	https://doi.org/10.1007/s12190-010-0400-0
State	Published - Apr 28 2010
Externally published	Yes

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.

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10.1007/s12190-010-0400-0

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author = "Jean-Luc Guermond and Abner Salgado",

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doi = "10.1007/s12190-010-0400-0",

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AU - Salgado, Abner

N1 - 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.

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N2 - 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.

AB - 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.

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JO - Journal of Applied Mathematics and Computing

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ER -

A note on the Stokes operator and its powers

Abstract

Bibliographical note

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