The Jacobian and the Ginzburg-Landau energy

By Robert L. Jerrard, H. M. Soner. 2002

233 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/ef439a34158eaa4447fe2c101cb33f7179b5dc3b

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Giandomenico Orlandi
2. Sisto Baldo
3. Giovanni S. Alberti
4. Sylvia Serfaty
5. Etienne Sandier

In Geometry and Topology

1. Giandomenico Orlandi
2. Giovanni S. Alberti

Citations in the corpus

• Functions with prescribed singularities (2003, background): “[1], [2], see also [29] for related lower bound and compactness results).”
• Convergence of the parabolic Ginzburg–Landau equation to motion by mean curvature (2003, unknown): “The first one was the corresponding corresponding theory for the elliptic case, developed in the last decade, in particular in [3,28,8,26,22,23,4,19,9,6].”
• Variational convergence for functionals of Ginzburg-Landau type. (2005, background): “However, if E is the closure of a bounded Lipschitz domain and the n-th integral homology group Hn(E, Z) is trivial, then a rectifiable current supported in E is the boundary of a rectifiable current supported in E if and only if it has no boundary, and therefore M ∼E M ′ if and only supp(M − M ′)…”