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

2012/07/16 by Matthieu Hillairet, Hillairet, Matthieu, Peter Wittwer +1 · 1 citation
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Differential Equations and Boundary Problems #Navier-Stokes equation solutions #math.AP

paper · pdf · doi:10.48550/arxiv.1207.3779

arxiv created 2012/07/16 · arxiv updated 2012/07/17

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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