Zobacz książki o podobnej tematyce

Więcej informacji o Ginzburg-Landau Vortices

• Dane szczegółowe
• Opis
• Ulubione w innej kategorii

Za ten zakup dostaniesz 331 punkty

Opis

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 u~ that is smooth and satisfies the Euler equation in G, -~u~ = :2 u~(1 _lu~12) (3) { on aGo u~ =9 Themaximum principleeasily implies (see e.g., F. Bethuel, H. Brezisand F. Helein (2]) that any solution u~ of (3) satisfies lu~1 ~ 1 in G. In particular, a subsequence (u~,.) converges in the w - LOO(G) topology to a limit u .

Szczegóły książki

Kategoria Książki po angielsku Mathematics & science Mathematics Calculus & mathematical analysis

• Pełny tytuł: Ginzburg-Landau Vortices
• Autor: Fabrice Bethuel, Haim Brézis, Frederic Helein
• Język: Angielski
• Oprawa: Miękka
• Liczba stron: 162
• EAN: 9780817637231
• ISBN: 0817637230
• ID: 01399042
• Wydawca: Birkhauser Boston Inc
• Waga: 298 g
• Wymiary: 233 × 158 × 11 mm
• Data wydania: 28. March 1994

Ulubione w innej kategorii

---

---

---