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On H 2-Estimates of Solutions to the Stokes System with an Artificial Boundary Condition

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Abstract.

We consider the Stokes system in a truncated exterior domain, with a local artificial boundary condition on the truncating sphere. The second derivatives of the velocity and the first derivatives of the pressure are estimated in the L 2-norm, and it is shown how the constants in these estimates depend on the radius of the truncating sphere.

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Authors and Affiliations

  1. Université du Littoral, Centre Universitaire de la Mi-Voix, Laboratoire de Mathématiques Pures et Appliquées, B.P. 699, F-62228 Calais, France, , , , , , FR

    P. Deuring

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  1. P. Deuring
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Accepted: July 22, 2001

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ID="h1"Communicated by H. Sohr

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Deuring, P. On H 2-Estimates of Solutions to the Stokes System with an Artificial Boundary Condition. J. math. fluid mech. 4, 203–236 (2002). https://doi.org/10.1007/s00021-002-8543-x

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  • DOI: https://doi.org/10.1007/s00021-002-8543-x

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