Spectral methods in surface superconductivity
During the past decade, the mathematics of superconductivity has been the subject of intense activity. This book examines in detail the nonlinear Ginzburg Landau functional, the model most commonly used in the study of superconductivity. Specifically covered are cases in the presence of a strong mag...
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| Главные авторы: | , |
|---|---|
| Формат: | Livre numérique |
| Язык: | Anglais |
| Опубликовано: |
Boston, MA :
Birkhäuser Boston
[20..].
Cham : Springer Nature |
| Редактирование: | 1st ed. 2010. |
| Серии: | Progress in Nonlinear Differential Equations and Their Applications
77 |
| Предметы: | |
| Online-ссылка: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Примечание: |
Description d'après consultation du : 2012-03-02 L'accès complet à la ressource est réservé aux usagers des établissements qui en ont fait l'acquisition Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Spectral methods in surface superconductivity, Søren Fournais, Bernard Helffer, 2010, Boston (Mass.) [etc.], Springer, 1 vol. (XX-324 p.), Progress in nonlinear differential equations and their applications, 978-0-8176-4796-4 |
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| 100 | 1 | |a Fournais, Søren, |d 1973-...., |c mathématicien. | |
| 245 | 1 | 0 | |a Spectral methods in surface superconductivity |c by Søren Fournais, Bernard Helffer. |
| 250 | |a 1st ed. 2010. | ||
| 260 | |a Boston, MA : |b Birkhäuser Boston. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Progress in Nonlinear Differential Equations and Their Applications |v 77 |x 2374-0280 | |
| 500 | |a Description d'après consultation du : 2012-03-02 | ||
| 500 | |a L'accès complet à la ressource est réservé aux usagers des établissements qui en ont fait l'acquisition | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a Linear Analysis Spectral Analysis of Schrödinger Operators Diamagnetism Models in One Dimension Constant Field Models in Dimension 2: Noncompact Case Constant Field Models in Dimension 2: Discs and Their Complements Models in Dimension 3: or. | |
| 505 | 0 | |a Part I: Linear Analysis -- Spectral Analysis of Schrödinger Operators -- Diamagnetism -- Models in One Dimension -- Constant Field Models in Dimension 2: Noncompact Case -- Constant Field Models in Dimension 2: Discs and Their Complements -- Models in Dimension 3: R3 or R3,+ -- Introduction to Semiclassical Methods for the Schrödinger Operator with a Large Electric Potential -- Large Field Asymptotics of the Magnetic Schrödinger Operator: The Case of Dimension 2 -- Main Results for Large Magnetic Fields in Dimension 3 -- Part II: Nonlinear Analysis -- The Ginzburg Landau Functional -- Optimal Elliptic Estimates -- Decay Estimates -- On the Third Critical Field HC3 -- Between HC2 and HC3 in Two Dimensions -- On the Problems with Corners -- On Other Models in Superconductivity and Open Problems -- A - Min-Max Principle -- B - Essential Spectrum and Persson s Theorem -- C - Analytic Perturbation Theory -- D - About the Curl-Div System -- E - Regularity Theorems and Precise Estimates in Elliptic PDE -- F - Boundary Coordinates | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a During the past decade, the mathematics of superconductivity has been the subject of intense activity. This book examines in detail the nonlinear Ginzburg Landau functional, the model most commonly used in the study of superconductivity. Specifically covered are cases in the presence of a strong magnetic field and with a sufficiently large Ginzburg Landau parameter kappa. Key topics and features of the work: * Provides a concrete introduction to techniques in spectral theory and partial differential equations * Offers a complete analysis of the two-dimensional Ginzburg Landau functional with large kappa in the presence of a magnetic field * Treats the three-dimensional case thoroughly * Includes open problems Spectral Methods in Surface Superconductivity is intended for students and researchers with a graduate-level understanding of functional analysis, spectral theory, and the analysis of partial differential equations. The book also includes an overview of all nonstandard material as well as important semi-classical techniques in spectral theory that are involved in the nonlinear study of superconductivity | ||
| 538 | |a Nécessite un lecteur de fichier PDF | ||
| 650 | |a Supraconductivité | ||
| 650 | |a Théorie spectrale (mathématiques) | ||
| 650 | |a Équations aux dérivées partielles | ||
| 700 | 1 | |a Helffer, Bernard, |d 1949-...., |c mathématicien. |4 aut | |
| 776 | 0 | |0 145588297 |t Spectral methods in surface superconductivity |f Søren Fournais, Bernard Helffer |d 2010 |c Boston (Mass.) [etc.] |n Springer |p 1 vol. (XX-324 p.) |s Progress in nonlinear differential equations and their applications |z 978-0-8176-4796-4 | |
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