Wednesday, May 21

10:00 AM-12:00 PM Ballroom I - Level B

MS36
Transport in Hamiltonian Systems

How does a blob of initial conditions evolve under a Hamiltonian flow? How do we characterize such a motion, composed of regular and chaotic components? These questions arise in diverse fields such as celestial mechanics, mechanical systems, Lagrangian advection in fluids and geophysics, and particle confinement in plasma. Here, fundamental mechanisms governing transport and their applications will be discussed; the role of self-similarities, of partial barriers and of degeneracies in two, three, and four dimensional maps and flows will be revealed. Finally, the implications of such theories on observable transport in fluids will be discussed.

Organizer: Vered Rom-Kedar
Weizmann Institute of Science, Israel

10:00 Scaling Properties of Distributions of Exit Time and Poincaré Recurrences
G. M. Zaslavsky, Courant Institute of Mathematical Sciences, New York University
10:30 Transport in Quadratic Volume Preserving Maps
James D. Meiss, University of Colorado, Boulder
11:00 Lagrangian and Eulerian Transport: Are They Related?
George Haller, Brown University
11:30 Degenaracies, Instabilities and Transport
Vered Rom-Kedar, Organizer

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TMP, 4/4/97