Sunday, May 18

1:30 PM-2:30 PM
Chair: Michael Tabor, University of Arizona Ballroom I, II, III - Level B

Intricate Interfaces and Modulated Membranes - Their Geometry and Nonlinear Dynamics

Many problems in pattern formation involve the conformations and dynamics of filaments, interfaces, and surfaces. Theoretical descriptions of phenomena such as the fingering of flux domains in superconductors, chemical front motion in gel reactors, and propagating shape transformations in lipid vesicles all share common structures of global conservation laws, nontrivial variational principles, complex surface geometry, and strong nonlinearity and nonlocality. The speaker will give an overview of theoretical and experimental work on these various systems, highlighting some emerging unifying principles as well as important open problems in theory, experiment, and computation. Particular attention is given to conceptual and computational lessons learned from the connections between integrable systems and the differential geometry of curve motion.

Raymond E. Goldstein
Department of Physics, University of Arizona

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MMD, 1/15/97