Ginzburg-Landau Vortices:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Birkhäuser Boston
1994
|
| Schriftenreihe: | Progress in Nonlinear Differential Equations and Their Applications
13 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The original motivation of this study comes from the following questions that were mentioned to one ofus by H. Matano. Let 2 2 G= B = {x=(X1lX2) E 2 ; x~ + x~ = Ixl < 1}. 1 Consider the Ginzburg-Landau functional 2 2 (1) E~(u) = ~ LIVul + 4~2 L(lu1 _1)2 which is defined for maps u E H1(G;C) also identified with Hl(G;R2). Fix the boundary condition 9(X) =X on 8G and set H; = {u E H1(G;C); u = 9 on 8G}. It is easy to see that (2) is achieved by some u~ that is smooth and satisfies the Euler equation in G, -~u~ = :2 u~(1 _lu~12) (3) { on aGo u~ =9 Themaximum principleeasily implies (see e.g., F. Bethuel, H. Brezisand F. Helein (2]) that any solution u~ of (3) satisfies lu~1 ~ 1 in G. In particular, a subsequence (u~,.) converges in the w* - LOO(G) topology to a limit u* |
| Beschreibung: | 1 Online-Ressource (196p) |
| ISBN: | 9781461202875 9780817637231 |
| DOI: | 10.1007/978-1-4612-0287-5 |
Internformat
MARC
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| 100 | 1 | |a Bethuel, Fabrice |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Ginzburg-Landau Vortices |c by Fabrice Bethuel, Haïm Brezis, Frédéric Hélein |
| 264 | 1 | |a Boston, MA |b Birkhäuser Boston |c 1994 | |
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| 490 | 0 | |a Progress in Nonlinear Differential Equations and Their Applications |v 13 | |
| 500 | |a The original motivation of this study comes from the following questions that were mentioned to one ofus by H. Matano. Let 2 2 G= B = {x=(X1lX2) E 2 ; x~ + x~ = Ixl < 1}. 1 Consider the Ginzburg-Landau functional 2 2 (1) E~(u) = ~ LIVul + 4~2 L(lu1 _1)2 which is defined for maps u E H1(G;C) also identified with Hl(G;R2). Fix the boundary condition 9(X) =X on 8G and set H; = {u E H1(G;C); u = 9 on 8G}. It is easy to see that (2) is achieved by some u~ that is smooth and satisfies the Euler equation in G, -~u~ = :2 u~(1 _lu~12) (3) { on aGo u~ =9 Themaximum principleeasily implies (see e.g., F. Bethuel, H. Brezisand F. Helein (2]) that any solution u~ of (3) satisfies lu~1 ~ 1 in G. In particular, a subsequence (u~,.) converges in the w* - LOO(G) topology to a limit u* | ||
| 650 | 4 | |a Mathematics | |
| 650 | 4 | |a Differential equations, partial | |
| 650 | 4 | |a Mathematical physics | |
| 650 | 4 | |a Partial Differential Equations | |
| 650 | 4 | |a Applications of Mathematics | |
| 650 | 4 | |a Mathematical Methods in Physics | |
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Datensatz im Suchindex
| _version_ | 1804153090243297280 |
|---|---|
| any_adam_object | |
| author | Bethuel, Fabrice |
| author_GND | (DE-588)172705681 |
| author_facet | Bethuel, Fabrice |
| author_role | aut |
| author_sort | Bethuel, Fabrice |
| author_variant | f b fb |
| building | Verbundindex |
| bvnumber | BV042419498 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)1184269404 (DE-599)BVBBV042419498 |
| dewey-full | 515.353 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.353 |
| dewey-search | 515.353 |
| dewey-sort | 3515.353 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-0287-5 |
| format | Electronic eBook |
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| genre_facet | Konferenzschrift 2002 Shanghai |
| id | DE-604.BV042419498 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:04Z |
| institution | BVB |
| isbn | 9781461202875 9780817637231 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027854915 |
| oclc_num | 1184269404 |
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| publishDate | 1994 |
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| publisher | Birkhäuser Boston |
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| series2 | Progress in Nonlinear Differential Equations and Their Applications |
| spelling | Bethuel, Fabrice Verfasser aut Ginzburg-Landau Vortices by Fabrice Bethuel, Haïm Brezis, Frédéric Hélein Boston, MA Birkhäuser Boston 1994 1 Online-Ressource (196p) txt rdacontent c rdamedia cr rdacarrier Progress in Nonlinear Differential Equations and Their Applications 13 The original motivation of this study comes from the following questions that were mentioned to one ofus by H. Matano. Let 2 2 G= B = {x=(X1lX2) E 2 ; x~ + x~ = Ixl < 1}. 1 Consider the Ginzburg-Landau functional 2 2 (1) E~(u) = ~ LIVul + 4~2 L(lu1 _1)2 which is defined for maps u E H1(G;C) also identified with Hl(G;R2). Fix the boundary condition 9(X) =X on 8G and set H; = {u E H1(G;C); u = 9 on 8G}. It is easy to see that (2) is achieved by some u~ that is smooth and satisfies the Euler equation in G, -~u~ = :2 u~(1 _lu~12) (3) { on aGo u~ =9 Themaximum principleeasily implies (see e.g., F. Bethuel, H. Brezisand F. Helein (2]) that any solution u~ of (3) satisfies lu~1 ~ 1 in G. In particular, a subsequence (u~,.) converges in the w* - LOO(G) topology to a limit u* Mathematics Differential equations, partial Mathematical physics Partial Differential Equations Applications of Mathematics Mathematical Methods in Physics Mathematik Mathematische Physik Supraleitung (DE-588)4058651-0 gnd rswk-swf Suprafluidität (DE-588)4184132-3 gnd rswk-swf Ginzburg-Landau-Gleichung (DE-588)4157356-0 gnd rswk-swf Mathematische Physik (DE-588)4037952-8 gnd rswk-swf Nichtlineare Differentialgleichung (DE-588)4205536-2 gnd rswk-swf 1\p (DE-588)1071861417 Konferenzschrift 2002 Shanghai gnd-content Ginzburg-Landau-Gleichung (DE-588)4157356-0 s Mathematische Physik (DE-588)4037952-8 s 2\p DE-604 Supraleitung (DE-588)4058651-0 s 3\p DE-604 Nichtlineare Differentialgleichung (DE-588)4205536-2 s 4\p DE-604 Suprafluidität (DE-588)4184132-3 s 5\p DE-604 Brezis, Haïm Sonstige oth Hélein, Frédéric 1963- Sonstige (DE-588)172705681 oth https://doi.org/10.1007/978-1-4612-0287-5 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 5\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Bethuel, Fabrice Ginzburg-Landau Vortices Mathematics Differential equations, partial Mathematical physics Partial Differential Equations Applications of Mathematics Mathematical Methods in Physics Mathematik Mathematische Physik Supraleitung (DE-588)4058651-0 gnd Suprafluidität (DE-588)4184132-3 gnd Ginzburg-Landau-Gleichung (DE-588)4157356-0 gnd Mathematische Physik (DE-588)4037952-8 gnd Nichtlineare Differentialgleichung (DE-588)4205536-2 gnd |
| subject_GND | (DE-588)4058651-0 (DE-588)4184132-3 (DE-588)4157356-0 (DE-588)4037952-8 (DE-588)4205536-2 (DE-588)1071861417 |
| title | Ginzburg-Landau Vortices |
| title_auth | Ginzburg-Landau Vortices |
| title_exact_search | Ginzburg-Landau Vortices |
| title_full | Ginzburg-Landau Vortices by Fabrice Bethuel, Haïm Brezis, Frédéric Hélein |
| title_fullStr | Ginzburg-Landau Vortices by Fabrice Bethuel, Haïm Brezis, Frédéric Hélein |
| title_full_unstemmed | Ginzburg-Landau Vortices by Fabrice Bethuel, Haïm Brezis, Frédéric Hélein |
| title_short | Ginzburg-Landau Vortices |
| title_sort | ginzburg landau vortices |
| topic | Mathematics Differential equations, partial Mathematical physics Partial Differential Equations Applications of Mathematics Mathematical Methods in Physics Mathematik Mathematische Physik Supraleitung (DE-588)4058651-0 gnd Suprafluidität (DE-588)4184132-3 gnd Ginzburg-Landau-Gleichung (DE-588)4157356-0 gnd Mathematische Physik (DE-588)4037952-8 gnd Nichtlineare Differentialgleichung (DE-588)4205536-2 gnd |
| topic_facet | Mathematics Differential equations, partial Mathematical physics Partial Differential Equations Applications of Mathematics Mathematical Methods in Physics Mathematik Mathematische Physik Supraleitung Suprafluidität Ginzburg-Landau-Gleichung Nichtlineare Differentialgleichung Konferenzschrift 2002 Shanghai |
| url | https://doi.org/10.1007/978-1-4612-0287-5 |
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