Structural descriptions of limits of the parabolic Ginzburg-Landau equation on closed manifolds
Structural descriptions of limits of the parabolic Ginzburg-Landau equation on closed manifolds
In the setting of a compact Riemannian manifold of dimension $N\ge3$, we provide a structural description of the limiting behavior of the energy measures of solutions to the parabolic Ginzburg-Landau equation. In particular, we provide a decomposition of the limiting energy measure into a diffuse part, which is absolutely continuous …