|
|
CAIMS*SCMAI Doctoral Dissertation Award 99
Winner and Abstract
1999
Stephen J. Gustafson,Department of Mathematics and Statistics,
University of Toronto:
Some Mathematical Problems in The Ginzburg-Landau Theory of
Superconductivity
The thesis studies the Ginzburg-Landau equation describing
superconductors. It proves that for superconductors of the first kind,
the magnetic vortices are stable for any vorticity n and for
superconductors of the second kind, the magnetic vortices with |n|=1 are
stable and |n|>1 are unstable. This result proves a conjecture by
A. Jaffe and C. Taubs, implicitly assumed in the physics literature since
the foundational paper of A. Abrakosov of more than 40 years ago.
|
