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Dragos Iftimie
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On the shrinking obstacle limit in a viscous incompressible flow
Dr. Dragos Iftimie
Institute Girard Desargues at University Claude Bernard Lyon 1
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Abstract:
We consider a bidimensional incompressible viscous flow in the exterior of an
obstacle that shrinks to a point. Under the hypothesis that 1) the initial
vorticity and velocity's circulation on the boundary of the obstacle are
independent of the obstacle and 2) the velocity's circulation is small
independently of the size of the obstacle, we determine the limit velocity. This
result extends a previous paper by the same authors which deals with the same
problem in the inviscid case. This is work in collaboration with M. Lopes and H.
Nussenzveig Lopes.
[LECTURE SLIDES]
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