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Well-posedness in the generalized sense for boundary layer suppressing boundary conditions

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Abstract

The time-dependent Navier-Stokes equation for incompressible fluid flow together with new boundary layer suppressing boundary conditions for open boundaries is investigated. In these new boundary conditions one typically prescribes a high-order derivative of some of the dependent variables. We prove that these boundary conditions give rise to a problem that is well posed in the generalized sense. This means that there exists a unique smooth solution of the linearized problem and that this solution can be estimated by data.

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Authors and Affiliations

  1. The Royal Institute of Technology, NADA-C2M2, S-100 44, Stockholm, Sweden

    B. Christer V. Johansson

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  1. B. Christer V. Johansson
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Johansson, B.C.V. Well-posedness in the generalized sense for boundary layer suppressing boundary conditions. J Sci Comput 6, 391–414 (1991). https://doi.org/10.1007/BF01060031

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  • DOI: https://doi.org/10.1007/BF01060031

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