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Existence of Strong Solutions for a System Coupling the Navier–Stokes Equations and a Damped Wave Equation

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Abstract

We consider a fluid–structure interaction problem coupling the Navier–Stokes equations with a damped wave equation which describes the displacement of a part of the boundary of the fluid domain. The system is considered first in the two-dimensional setting and in a second part it is adapted to the three-dimensional setting.

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Authors and Affiliations

  1. Institut de Mathématiques de Toulouse (UMR 5219), Université Paul Sabatier, 31062, Toulouse Cedex 9, France

    Julien Lequeurre

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  1. Julien Lequeurre
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Correspondence to Julien Lequeurre.

Additional information

Communicated by H. Beirao da Veiga

This work was supported by the ANR project CISIFS, 09-BLAN-0213-03.

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Lequeurre, J. Existence of Strong Solutions for a System Coupling the Navier–Stokes Equations and a Damped Wave Equation. J. Math. Fluid Mech. 15, 249–271 (2013). https://doi.org/10.1007/s00021-012-0107-0

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  • DOI: https://doi.org/10.1007/s00021-012-0107-0

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