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Behaviour of the Stokes operators under domain perturbation

  • Sylvie MonniauxEmail author
Articles
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Abstract

Depending on the geometry of the domain, one can define—at least—three different Stokes operators with Dirichlet boundary conditions. We describe how the resolvents of these Stokes operators converge with respect to a converging sequence of domains.

Keywords

domain perturbation Stokes operator Dirichlet boundary conditions 

MSC(2010)

35J15 35Q30 

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Notes

Acknowledgements

This work was supported by the ANR Project INFAMIE (Grant No. ANR-15-CE40-001). The understanding of this subject has benefited from discussions with Tom ter Elst. The author thanks the anonymous referees whose remarks greatly improved this manuscript.

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Copyright information

© Science China Press and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Aix Marseille UniversitéCNRSMarseilleFrance

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