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    A note on the Stokes operator and its powers

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    Type
    Article
    Authors
    Guermond, Jean-Luc
    Salgado, Abner
    KAUST Grant Number
    KUS-C1-016-04
    Date
    2010-04-28
    Online Publication Date
    2010-04-28
    Print Publication Date
    2011-08
    Permanent link to this record
    http://hdl.handle.net/10754/597354
    
    Metadata
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    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.
    Sponsors
    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
    ae974a485f413a2113503eed53cd6c53
    10.1007/s12190-010-0400-0
    Scopus Count
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    Publications Acknowledging KAUST Support

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