The hyperboloidal foliation method:
The "Hyperboloidal Foliation Method" introduced in this monograph is based on a (3 + 1) foliation of Minkowski spacetime by hyperboloidal hypersurfaces. This method allows the authors to establish global-in-time existence results for systems of nonlinear wave equations posed on a curved sp...
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| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c2014
|
| Schriftenreihe: | Series in applied and computational mathematics
vol. 2 |
| Schlagworte: | |
| Online-Zugang: | FHN01 Volltext |
| Zusammenfassung: | The "Hyperboloidal Foliation Method" introduced in this monograph is based on a (3 + 1) foliation of Minkowski spacetime by hyperboloidal hypersurfaces. This method allows the authors to establish global-in-time existence results for systems of nonlinear wave equations posed on a curved spacetime. It also allows to encompass the wave equation and the Klein-Gordon equation in a unified framework and, consequently, to establish a well-posedness theory for a broad class of systems of nonlinear wave-Klein-Gordon equations. This book requires certain natural (null) conditions on nonlinear interactions, which are much less restrictive that the ones assumed in the existing literature. This theory applies to systems arising in mathematical physics involving a massive scalar field, such as the Dirac-Klein-Gordon systems |
| Beschreibung: | ix, 149 p. ill |
| ISBN: | 9789814641630 |
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| 490 | 0 | |a Series in applied and computational mathematics |v vol. 2 | |
| 520 | |a The "Hyperboloidal Foliation Method" introduced in this monograph is based on a (3 + 1) foliation of Minkowski spacetime by hyperboloidal hypersurfaces. This method allows the authors to establish global-in-time existence results for systems of nonlinear wave equations posed on a curved spacetime. It also allows to encompass the wave equation and the Klein-Gordon equation in a unified framework and, consequently, to establish a well-posedness theory for a broad class of systems of nonlinear wave-Klein-Gordon equations. This book requires certain natural (null) conditions on nonlinear interactions, which are much less restrictive that the ones assumed in the existing literature. This theory applies to systems arising in mathematical physics involving a massive scalar field, such as the Dirac-Klein-Gordon systems | ||
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Datensatz im Suchindex
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| author | LeFloch, Philippe G. 1962- |
| author_facet | LeFloch, Philippe G. 1962- |
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| author_sort | LeFloch, Philippe G. 1962- |
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| dewey-full | 530.1133 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.1133 |
| dewey-search | 530.1133 |
| dewey-sort | 3530.1133 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Electronic eBook |
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| id | DE-604.BV044640565 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:58Z |
| institution | BVB |
| isbn | 9789814641630 |
| language | English |
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| physical | ix, 149 p. ill |
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| publishDate | 2014 |
| publishDateSearch | 2014 |
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| publisher | World Scientific Pub. Co. |
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| series2 | Series in applied and computational mathematics |
| spelling | LeFloch, Philippe G. 1962- Verfasser aut The hyperboloidal foliation method Philippe G. LeFloch, Yue Ma Singapore World Scientific Pub. Co. c2014 ix, 149 p. ill txt rdacontent c rdamedia cr rdacarrier Series in applied and computational mathematics vol. 2 The "Hyperboloidal Foliation Method" introduced in this monograph is based on a (3 + 1) foliation of Minkowski spacetime by hyperboloidal hypersurfaces. This method allows the authors to establish global-in-time existence results for systems of nonlinear wave equations posed on a curved spacetime. It also allows to encompass the wave equation and the Klein-Gordon equation in a unified framework and, consequently, to establish a well-posedness theory for a broad class of systems of nonlinear wave-Klein-Gordon equations. This book requires certain natural (null) conditions on nonlinear interactions, which are much less restrictive that the ones assumed in the existing literature. This theory applies to systems arising in mathematical physics involving a massive scalar field, such as the Dirac-Klein-Gordon systems Nonlinear wave equations Klein-Gordon equation Nonlinear systems Blätterung (DE-588)4007006-2 gnd rswk-swf Hyperbolische Geometrie (DE-588)4161041-6 gnd rswk-swf Blätterung (DE-588)4007006-2 s Hyperbolische Geometrie (DE-588)4161041-6 s 1\p DE-604 Ma, Yue Sonstige oth Erscheint auch als Druck-Ausgabe 9789814641623 http://www.worldscientific.com/worldscibooks/10.1142/9427#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | LeFloch, Philippe G. 1962- The hyperboloidal foliation method Nonlinear wave equations Klein-Gordon equation Nonlinear systems Blätterung (DE-588)4007006-2 gnd Hyperbolische Geometrie (DE-588)4161041-6 gnd |
| subject_GND | (DE-588)4007006-2 (DE-588)4161041-6 |
| title | The hyperboloidal foliation method |
| title_auth | The hyperboloidal foliation method |
| title_exact_search | The hyperboloidal foliation method |
| title_full | The hyperboloidal foliation method Philippe G. LeFloch, Yue Ma |
| title_fullStr | The hyperboloidal foliation method Philippe G. LeFloch, Yue Ma |
| title_full_unstemmed | The hyperboloidal foliation method Philippe G. LeFloch, Yue Ma |
| title_short | The hyperboloidal foliation method |
| title_sort | the hyperboloidal foliation method |
| topic | Nonlinear wave equations Klein-Gordon equation Nonlinear systems Blätterung (DE-588)4007006-2 gnd Hyperbolische Geometrie (DE-588)4161041-6 gnd |
| topic_facet | Nonlinear wave equations Klein-Gordon equation Nonlinear systems Blätterung Hyperbolische Geometrie |
| url | http://www.worldscientific.com/worldscibooks/10.1142/9427#t=toc |
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