You are viewing a javascript disabled version of the site. Please enable Javascript for this site to function properly.
Go to headerGo to navigationGo to searchGo to contentsGo to footer
In content section. Select this link to jump to navigation

Critical points of the Ginzburg–Landau system on a Riemannian surface

Article type: Research Article

Authors: Baraket, Sami

Affiliations: CMLA, ENS de Cachan, URA 1611, 61, avenue du Président Wilson, 94235 Cachan Cedex, France

Abstract: We study here the Ginzburg-Landau functional on a Riemannian surface S endowed with an arbitrary metric Eε(u)=½∫𝒮||∇u||2+1/(4ε2)∫𝒮(|u|2−1)2, u∈H1(S,C), where ε∈]0,+∞[. We study the asymptotic behaviour of the critical points for Eε as ε→0. We define a renormalized energy which allows to characterize the position of the singularities at the limit.

DOI: 10.3233/ASY-1996-13303

Journal: Asymptotic Analysis, vol. 13, no. 3, pp. 277-317, 1996

Received 25 July 1995
|
Published: 1996
Price: EUR 27.50
Show more