Ginzburg-Landau Vortices

by Fabrice Bethuel, Haïm Brézis, Frédéric Hélein

The original motivation of this study comes from the following questions that were mentioned to one ofus by H. Matano. Let 2 2 G= B = {x=(X1lX2) E 2 ; x~ + x~ = Ixl < 1}. 1 Consider the Ginzburg-Landau functional 2 2 (1) E~(u) = ~ LIVul + 4~2 L(lu1 _1)2 which is defined for maps u E H1(G;C) also identified with Hl(G;R2). Fix the boundary condition 9(X) =X on 8G and set H; = {u E H1(G;C); u = 9 on 8G}. It is easy to see that (2) is achieved by some...

• Format: Paperback
• Language: English
• ISBN: 0817637230
• ISBN13: 9780817637231
• Release Date: March 1994
• Publisher: Birkhauser
• Length: 162 Pages
• Weight: 0.62 lbs.
• Dimensions: 0.4" x 6.1" x 9.2"