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math.AP2021
Structural descriptions of limits of the parabolic Ginzburg-Landau equation on closed manifolds
Andrew Colinet
In the setting of a compact Riemannian manifold of dimension we provide a structural description of the limiting behaviour of the energy measures of solutions to the parabo…
math.AP2021★ 1 cited
Solutions of the Ginzburg-Landau equations with vorticity concentrating near a nondegenerate geodesic
Andrew Colinet, Robert Jerrard, Peter Sternberg
It is well-known that under suitable hypotheses, for a sequence of solutions of the (simplified) Ginzburg-Landau equations $-Δu_\varepsilon +\varepsilon^{-2}(|u_\varepsilon|^2-1)u_…