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Article Dans Une Revue Archive for Rational Mechanics and Analysis Année : 2012

Asymptotic description of solutions of the exterior Navier Stokes problem in a half space

Résumé

We consider the problem of a body moving within an incompressible fluid at constant speed parallel to a wall, in an otherwise unbounded domain. This situation is modeled by the incompressible Navier-Stokes equations in an exterior domain in a half space, with appropriate boundary conditions on the wall, the body, and at infinity. We focus on the case where the size of the body is small. We prove in a very general setup that the solution of this problem is unique and we compute a sharp decay rate of the solution far from the moving body and the wall.
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Dates et versions

hal-00606267 , version 1 (05-07-2011)

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Matthieu Hillairet, Peter Wittwer. Asymptotic description of solutions of the exterior Navier Stokes problem in a half space. Archive for Rational Mechanics and Analysis, 2012, 205 (2), pp.553-584. ⟨10.1007/s00205-012-0515-6⟩. ⟨hal-00606267⟩
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