Interaction energy between vortices of vector fields on Riemannian surfaces

Autor:	Ignat, Radu, Jerrard, Robert L.
Rok vydání:	2017
Předmět:	Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	We study a variational Ginzburg-Landau type model depending on a small parameter $\epsilon>0$ for (tangent) vector fields on a $2$-dimensional Riemannian surface. As $\epsilon\to 0$, the vector fields tend to be of unit length and will have singular points of a (non-zero) index, called vortices. Our main result determines the interaction energy between these vortices as a $\Gamma$-limit (at the second order) as $\epsilon\to 0$.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1701.06546 Zobrazit plný text záznamu View this record from Arxiv