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Two-dimensional incompressible viscous flow around a thin obstacle tending to a curve

Published online by Cambridge University Press:  04 November 2009

Christophe Lacave
Christophe Lacave
Affiliation:
Université de Lyon; Université Lyon 1; INSA de Lyon, F-69621; Ecole Centrale de Lyon; CNRS, UMR 5208, Institut Camille Jordan, 43 blvd du 11 novembre 1918, 69622 Villeurbanne Cedex, France, (lacave@math.univ-lyon1.fr)
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Abstract

Building on a recent work, we consider a two-dimensional viscous fluid in the exterior of a thin obstacle shrinking to a curve, proving convergence to a solution of the Navier–Stokes equations in the exterior of a curve. The uniqueness of the limit solution is also shown.>

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 139 , Issue 6 , December 2009 , pp. 1237 - 1254
Copyright
Copyright © Royal Society of Edinburgh 2009

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