Linear and Nonlinear Aspects of Vortices: The Ginzburg-andau Model
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Birkhäuser Boston
2000
|
| Schriftenreihe: | Progress in Nonlinear Differential Equations and Their Applications
39 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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 Hölder 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 |
| Beschreibung: | 1 Online-Ressource (X, 342 p) |
| ISBN: | 9781461213864 9781461271253 |
| DOI: | 10.1007/978-1-4612-1386-4 |
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| 500 | |a 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 Hölder 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 | ||
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| dewey-ones | 515 - Analysis |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-1386-4 |
| format | Electronic eBook |
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| id | DE-604.BV042419825 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:05Z |
| institution | BVB |
| isbn | 9781461213864 9781461271253 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027855242 |
| oclc_num | 863764909 |
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| physical | 1 Online-Ressource (X, 342 p) |
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| publishDate | 2000 |
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| publisher | Birkhäuser Boston |
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| series2 | Progress in Nonlinear Differential Equations and Their Applications |
| spelling | Pacard, Frank Verfasser aut Linear and Nonlinear Aspects of Vortices The Ginzburg-andau Model by Frank Pacard, Tristan Rivière Boston, MA Birkhäuser Boston 2000 1 Online-Ressource (X, 342 p) txt rdacontent c rdamedia cr rdacarrier Progress in Nonlinear Differential Equations and Their Applications 39 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 Hölder 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 Mathematics Functional analysis Differential equations, partial Functional Analysis Partial Differential Equations Applications of Mathematics Theoretical, Mathematical and Computational Physics Mathematik Rivière, Tristan Sonstige oth https://doi.org/10.1007/978-1-4612-1386-4 Verlag Volltext |
| spellingShingle | Pacard, Frank Linear and Nonlinear Aspects of Vortices The Ginzburg-andau Model Mathematics Functional analysis Differential equations, partial Functional Analysis Partial Differential Equations Applications of Mathematics Theoretical, Mathematical and Computational Physics Mathematik |
| title | Linear and Nonlinear Aspects of Vortices The Ginzburg-andau Model |
| title_auth | Linear and Nonlinear Aspects of Vortices The Ginzburg-andau Model |
| title_exact_search | Linear and Nonlinear Aspects of Vortices The Ginzburg-andau Model |
| title_full | Linear and Nonlinear Aspects of Vortices The Ginzburg-andau Model by Frank Pacard, Tristan Rivière |
| title_fullStr | Linear and Nonlinear Aspects of Vortices The Ginzburg-andau Model by Frank Pacard, Tristan Rivière |
| title_full_unstemmed | Linear and Nonlinear Aspects of Vortices The Ginzburg-andau Model by Frank Pacard, Tristan Rivière |
| title_short | Linear and Nonlinear Aspects of Vortices |
| title_sort | linear and nonlinear aspects of vortices the ginzburg andau model |
| title_sub | The Ginzburg-andau Model |
| topic | Mathematics Functional analysis Differential equations, partial Functional Analysis Partial Differential Equations Applications of Mathematics Theoretical, Mathematical and Computational Physics Mathematik |
| topic_facet | Mathematics Functional analysis Differential equations, partial Functional Analysis Partial Differential Equations Applications of Mathematics Theoretical, Mathematical and Computational Physics Mathematik |
| url | https://doi.org/10.1007/978-1-4612-1386-4 |
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