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Journal Articles Journal of Differential Equations Year : 2013

On the existence of solutions to the planar exterior Navier Stokes system

Abstract

We consider the stationary incompressible Navier Stokes equation in the exterior of a disk B with non-zero Dirichlet boundary conditions on the disk and zero boundary conditions at infinity. We prove the existence of solutions for an open set of boundary conditions without symmetry.
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Dates and versions

hal-00718393 , version 1 (16-07-2012)

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Matthieu Hillairet, Peter Wittwer. On the existence of solutions to the planar exterior Navier Stokes system. Journal of Differential Equations, 2013, 255 (10), pp.2996-3019. ⟨hal-00718393⟩
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