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Center for Scientific Computation and Mathematical Modeling

Research Activities > Programs > Incompressible Flows at High Reynolds Number > Milton Lopes

Analytical and Computational Challenges of Incompressible Flows at High Reynolds Number

CSIC Building (#406), Seminar Room 4122.
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Dispersion and scattering of vorticity in 2D flows

Dr. Milton Lopes

Mathematics Department at Pennsylvania State University

Abstract:   Consider planar, incompressible, ideal fluid flow. It is known that, for these flows, if the vorticity has a single sign then it disperses very slowly. In fact, the state of the art is that dispersion follows a fourth-root in time scaling, a result which can be largely attributed to C. Marchioro, Ph. Serfati, D. Iftimie, P. Gamblin and T. Sideris. In contrast, vortex pairs, which have mass-balanced odd vorticity, have constant speed and hence wave-like scattering. The purpose of this talk is to examine two recent results concerning the structure of large time vortex dynamics for general initial data, from the point of view of dispersion and scattering.