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In [Lacave, IHP, ana, to appear (2008)] the author considered the twodimensional Euler equations in the exterior of a thin obstacle shrinking to acurve and determined the limit velocity. In the present work, we consider thesame problem in the viscous case, proving convergence to a solution of theNavier-Stokes equations in the exterior of a curve. The uniqueness of the limitsolution is also shown.

Two Dimensional Incompressible Viscous Flow Around a Thin Obstacle Tending to a Curve