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Research Activities > Programs > Incompressible Flows at High Reynolds Number > Dragos Iftimie

Analytical and Computational Challenges of Incompressible Flows at High Reynolds Number

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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

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.