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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