𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Limiting properties of the second order Ginzburg–Landau minimizers

✍ Scribed by Yutian Lei

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
215 KB
Volume
214
Category
Article
ISSN
0377-0427

No coin nor oath required. For personal study only.

✦ Synopsis

The author studies the weak convergence for the gradient of the minimizers for a second order energy functional when the parameter tends to 0. And this paper is also concerned with the location of the zeros and the blow-up points of the gradient of the minimizers of this functional. Finally, the strong convergence of the gradient of the radial minimizers is obtained.

📜 SIMILAR VOLUMES

Limiting Behavior of the Ginzburg–Landau
Limiting Behavior of the Ginzburg–Landau Functional
✍ Robert L. Jerrard; Halil Mete Soner 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 319 KB

approximated by smooth S 2 -valued maps. More recently, the authors in proved, as a special case of more general results, that if u 2 W 1;1 \ L 1 ðR 2 ; S 1 Þ and the distributional Jacobian of u is a Radon measure, then this measure must be atomic. Similar results are found in the work of Giaquint

Some properties of the ideal Ginzburg–La
Some properties of the ideal Ginzburg–Landau vortex lattice
✍ E.H. Brandt 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 385 KB

Some features of the vortex lattice in ideal type-II superconductors are calculated from Ginzburg-Landau theory for the entire ranges of applied magnetic fields H c2 6 H 6 H c2 or induction 0 6 B 6 l 0 H c2 and Ginzburg-Landau parameters j P 2 À1=2 . Results for the triangular and square flux-line l