Tuesday, May 25

MS35
Stability and Bifurcations of Relative Equilibria: Applications

10:00 AM-12:00 PM
Room: White Pine

Relative equilibria arise in nature and in industry. For example, steady rotation of coupled rigid or deformable bodies and steady motions in fluid models are of interest to engineers, physicists, and chemists. The analysis of concrete examples elucidates the limitations of existing theoretical approaches and can bring to light unrecognized structures, leading to more general or efficient methodologies. The speakers in this minisymposium will focus on several specific applications and demonstrate mutually beneficial interaction between theory and example.

Organizers: Debra K. Lewis
University of California, Santa Cruz

10:00-10:25 Nekhoroshev-Stability of Elliptic (Relative) Equilibria and the Riemann Ellipsoids

Francesco Fassó, Università di Padova, Italy

10:30-10:55 Stabilization of Relative Equilibria

Jerrold E. Marsden, California Institute of Technology

11:00-11:25 Drift of Certain 4-Vortex Relative Equilibria

George W. Patrick, University of Saskatchewan, Saskatoon, Canada

11:30-11:55 A Generalization of Riemann's Theorem for Rotating Fluid Masses

Mark Roberts, University of Warwick, United Kingdom

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MMD, 2/9/99
LMH, 1/11/99; tjf, 2/3/99