| 書目名稱 | Ginzburg-Landau Vortices | | 編輯 | Fabrice Bethuel,Haim Brezis,Frederic Helein | | 視頻video | http://file.papertrans.cn/386/385766/385766.mp4 | | 概述 | Affordable, softcover reprint of a classic textbook.Authors are well-known specialists in nonlinear functional analysis and partial differential equations.Written in a clear, readable style with many | | 叢書名稱 | Modern Birkh?user Classics | | 圖書封面 |  | | 描述 | .This book is concerned with the study in two dimensions of stationary solutions of u.?. of a complex valued Ginzburg-Landau equation involving a small parameter ?. Such problems are related to questions occurring in physics, e.g., phase transition phenomena in superconductors and superfluids. The parameter ? has a dimension of a length which is usually small.? Thus, it is of great interest to study the asymptotics as ? tends to zero...One of the main results asserts that the limit u-star of minimizers u.?. exists. Moreover, u-star is smooth except at a finite number of points called defects or vortices in physics. The number of these defects is exactly the Brouwer degree – or winding number – of the boundary condition. Each singularity has degree one – or as physicists would say, vortices are quantized...The material presented in this book covers mostly original results by the authors. It assumes a moderate knowledge of nonlinear functional analysis,partial differential equations, and complex functions. This book is designed for researchers and graduate students alike, and can be used as a one-semester text. The present softcover reprint is designed to make this classic text avail | | 出版日期 | Book 2017 | | 關鍵詞 | Ginzburg-Landau Vortices; Partial Differential Equations; Phase Transition Phenomena; Superconductors; S | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-66673-0 | | isbn_softcover | 978-3-319-66672-3 | | isbn_ebook | 978-3-319-66673-0Series ISSN 2197-1803 Series E-ISSN 2197-1811 | | issn_series | 2197-1803 | | copyright | Springer International Publishing AG 2017 |
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