Friday, August 11

MS32
Mathematical Theory of Superconductivity - Part I of II

10:00 AM-12:00 PM
Lehua (Salon 6)

For Part II, see MS38.

In recent years, more and more mathematicians have started working on the analysis and numerical simulations of various mathematical models in superconductivity. The enthusiasm for the study comes from the potential for future applications in science and technology. The study deals with rich structures and complicated concentration phenomena of solutions, such as the vortex structure and surface nucleation, and the effect of the domain geometry on the concentration behavior. The speakers in this minisymposium will present their latest research work, including modeling, the numerical and the analytical aspects of the problems in superconductivity.

10:00-10:25 Mean Field Model of Ginzburg-Landau Vortices

Qiang Du, Iowa State University, USA

10:30-10:55 A Mathematical Modeling of Dispersive Forces and Surface Effects Near Second Order Phase Transitions

Maria-Carme Calderer, Pennsylvania State University, USA

11:00-11:25 Stability of Vortex Solutions to the Ginzburg-Landau Equation in a Thin Domain under Neumann Condition

Yoshihisa Morita, Ryukoku University, Japan

11:30-11:55 On a Problem Related to Vortex Nucleation of Superconductivity

Keng Huat Kwek, National University of Singapore, Singapore