Talk
The Jacobian and the Ginzburg-Landau energy
- Robert Jerrard (Urbana/Champaign + MPI MiS, Leipzig)
Abstract
We show that if the Ginzburg-Landau energy
is uniformly bounded for a sequence of functions
ALIGN=MIDDLE ALT="tex2html_wrap_inline19" SRC="jerrard/img2.gif"> as
, then the Jacobians
ALT="tex2html_wrap_inline23" SRC="jerrard/img4.gif"> are precompact in a
ppropriate
weak topologies. We further show that any limiting measure must be
rectifiable. These results have potential applications in problems a
variety of problems, including for example questions involving dynamics of vortex filaments in superfluids. (joint work with Mete Soner)
