Tuesday July 26/7:30
MS28A/Marina 3
Nonlinear Water Waves
Water waves provide an example of a dynamical system that is Hamiltonian (or nearly so), that is easily accessible (one can do simple experiments in the kitchen sink), and that exhibits virtually all of the
phenomena associated with Hamiltonian dynamics. The range of interesting scales is huge: from centimeter-long
apillary waves to oceanic gyres that cover thousands of kilometers. The talks in this session exhibit some of this
diversity, with emphases on problems with very different scales, and on different (theoretical, numerical, and
experimental) aspects of the problem.
Organizers: James Curry and Harvey Segur
University of Colorado, Boulder
- 7:30: Stability of Isolated Compound Vortices
G.F. Carnevale and R.C. Kloosterziel, Scripps Institute of Oceanography, University of California, San Diego
- 8:00: Normal Forms for Water Waves
Walter Craig, Brown University
- 8:30: Experiments on a System that Becomes Unstable to "Stable" Perturbations
Diane Henderson and Joseph Hammack, Pennyslvania State University; Marc Perlin, University of Michigan, Ann Arbor; and Carson Chow, University of Colorado, Boulder
- 9:00: Stability of Boundary Integral Methods for Water Waves
Thomas Y. Hou, California Institute of Technology