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Prescription of General Defective Boundary Conditions in Fluid-Dynamics

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Abstract

This work reviews and extends to a more general setting some strategies to impose defective boundary conditions in fluid-dynamic problems investigated by the authors in the last years. We focus here to the steady Stokes problem. We show the well posedness of the proposed approaches and discuss their relative benefits.

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Authors and Affiliations

  1. MOX, Dipartimento di Matematica Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133, Milano, Italy

    Luca Formaggia

  2. Dipartimento di Ingegneria dell’Informazione e Metodi Matematici, Università di Bergamo, Viale Marconi, 524044, Dalmine (BG), Italy

    Christian Vergara

Authors
  1. Luca Formaggia
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  2. Christian Vergara
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Corresponding author

Correspondence to Luca Formaggia.

Additional information

This work has been (partially) supported by the ERC Advanced Grant N.227058 MATHCARD and by the Italian MIUR PRIN09 project n. 2009Y4RC3B_001.

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Formaggia, L., Vergara, C. Prescription of General Defective Boundary Conditions in Fluid-Dynamics. Milan J. Math. 80, 333–350 (2012). https://doi.org/10.1007/s00032-012-0185-8

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  • DOI: https://doi.org/10.1007/s00032-012-0185-8

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