株式会社極東書店トップ ＞ 商品一覧 ＞ Linear and Nonlinear Aspects of Vortices : The Ginzburg-andau Model. Softcover reprint of the original 1st ed. 2000.
商品詳細
Linear and Nonlinear Aspects of Vortices : The Ginzburg-andau Model. Softcover reprint of the original 1st ed. 2000.
・ISBN 978-1-4612-7125-3 paper EUR 99.99
￥26,726.- (税込) ※（※）価格はご注文時の参考価格となります。
納品価格につきましては書籍の入荷時点で確定となります。
版元の原価改定、外国為替の変動等により異なる場合がございますので、予めご了承下さい。
| 著者・編者 | Pacard, Frank / Riviere, Tristan, |
|---|---|
| シリーズ | Progress in Nonlinear Differential Equations and Their Applications |
| 出版社 | (Springer-Verlag New York Inc., US) |
| 出版年月 | 2012 |
| ページ数 | 342 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-17428＞ |
解説
Equations of the Ginzburg-Landau vortices have particular applications to a number of problems in physics, including phase transition phenomena in superconductors, superfluids, and liquid crystals. Building on the results presented by Bethuel, Brazis, and Helein, this current work further analyzes Ginzburg-Landau vortices with a particular emphasis on the uniqueness question.
The authors begin with a general presentation of the theory and then proceed to study problems using weighted Hoelder spaces and Sobolev Spaces. These are particularly powerful tools and help us obtain a deeper understanding of the nonlinear partial differential equations associated with Ginzburg-Landau vortices. Such an approach sheds new light on the links between the geometry of vortices and the number of solutions.
Aimed at mathematicians, physicists, engineers, and grad students, this monograph will be useful in a number of contexts in the nonlinear analysis of problems arising in geometry or mathematical physics. The material presented covers recent and original results by the authors, and will serve as an excellent classroom text or a valuable self-study resource.