A note on the Stokes operator and its powers

Type
Article

Authors
Guermond, Jean-Luc
Salgado, Abner

KAUST Grant Number
KUS-C1-016-04

Online Publication Date
2010-04-28

Print Publication Date
2011-08

Date
2010-04-28

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.

Citation
Guermond J-L, Salgado A (2010) A note on the Stokes operator and its powers. J Appl Math Comput 36: 241–250. Available: http://dx.doi.org/10.1007/s12190-010-0400-0.

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).

Publisher
Springer Nature

Journal
Journal of Applied Mathematics and Computing

DOI
10.1007/s12190-010-0400-0

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