Tuesday, May 13

10:30 AM-12:10 PM
Benjamin West A Room

MS18
Superconductivity (Part I of II)

Mathematical modeling of superconductivity is a rapidly growing field. The speakers in this minisymposium will review some of the main directions in the area including models for various physical setups, mathematical techniques for analysing them and numerical simulations for computing solutions to these models. Special emphasize will be placed on the formation and dynamics of patterns such as vortices.

Organizers: Jacob Rubinstein, Technion-Israel Institute of Technology, Israel; and Peter J. Sternberg, Indiana University, Bloomington

10:30-10:50 Simulations of Superconductors based on Ginzburg-Landau Type Models
Jennifer Deang, Virginia Polytechnic Institute and State University; Max D. Gunzburger and Janet Peterson, Iowa State University
10:55-11:15 Topology of the Order Parameter in Superconducting Rings
Jacob Rubinstein, Organizer; and Jorge Berger, Technion-Israel Institute of Technology, Israel
11:20-11:40 Behavior of Solutions to the Ginzburg-Landau System in an Applied Magnetic Field
Patricia Bauman and Daniel Phillips, Purdue University; and Q. Tang, University of Sussex, United Kingdom
11:45-12:05 Finding Critical Points of the Ginzburg-Landau Functional by Means of Sobolev Gradients
John W. Neuberger and R. J. Renka, University of North Texas
12:10-12:30 Ginzburg-Landau Equations and Vortex Dynamics in Superconducting Materials
Hans G. Kaper and Gary K. Leaf, Argonne National Laboratory

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MMD, 12/17/96