MS2 ~ Sunday, May 21, 1995 ~ 10:00 AM

Dynamics of Complex Singularities

Singularities occur in many problems of physical and mathematical interest, and are important generators of small scale behavior and complexity. One way by which a real singularity can form is that a singularity at a complex position moves until it hits the real axis. The speakers in this minisymposium will present analytic, geometric, numerical and physical aspects of the dynamics of complex singularities: a geometrical theory of PDEs, in which singularities can be smoothly described; numerical computations of complex singularity dynamics; and applications to problems involving shock waves, vortical flows, fluid interfaces and pattern defects.

Organizers: Russel E. Caflisch, University of California, Los Angeles ; and Nicholas M. Ercolani, University of Arizona

Singularities and Defects in Evolving Patterns
Nicholas M. Ercolani, Organizer; Robert Indik and Alan Newell, University of Arizona; Thierry Passot, Observatoire de Nice, France
The Effects of Complex Singularities on an Evolving Hele-Shaw Interface
Michael Siegel, Ohio State University, Columbus
Towards a Geometry of Differential Equations
Lucas Hsu, Institute for Advanced Study, Princeton
Singularity Formation in Vortical Flows
Russel E. Caflisch and Nicholas M. Ercolani, Organizers; and Gregory Steele, University of California, Los Angeles