Shock wave interactions in general relativity : a locally inertial glimm Scheme for spherically symmetric spacetimes
This monograph presents a self contained mathematical treatment of the initial value problem for shock wave solutions of the Einstein equations in General Relativity. The first two chapters provide background for the introduction of a locally intertial Glimm Scheme, a non-dissipative numerical schem...
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| Main Authors: | , , |
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| Format: | Livre numérique |
| Language: | Anglais |
| Published: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| Edition: | 1st ed. 2007. |
| Series: | Springer Monographs in Mathematics
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| Subjects: | |
| Online Access: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
L'impression du document génère 156 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Shock wave interactions in general relativity, a locally inertial Glimm scheme for spherically symmetric spacetimes, Jeffrey Groah, Joel Smoller, Blake Temple, [New York], Springer, 2007, 1 vol. (VIII-152 p.), Springer monographs in mathematics, 978-0-387-35073-8 • Shock Wave Interactions in General Relativity, Texte imprimé, 9781441922465 • Shock Wave Interactions in General Relativity, Texte imprimé, 9780387514598 • Shock wave interactions in general relativity, a locally inertial Glimm scheme for spherically symmetric spacetimes, Jeffrey Groah, Joel Smoller, Blake Temple, [New York], Springer, 2007, 1 vol. (VIII-152 p.), Springer monographs in mathematics, 978-0-387-35073-8 |
| Summary: | This monograph presents a self contained mathematical treatment of the initial value problem for shock wave solutions of the Einstein equations in General Relativity. The first two chapters provide background for the introduction of a locally intertial Glimm Scheme, a non-dissipative numerical scheme for approximating shock wave solutions of the Einstein equations in spherically symmetric spacetimes. What follows is a careful analysis of this scheme providing a proof of the existence of (shock wave) solutions of the spherically symmetric Einstein equations for a perfect fluid, starting from initial density and velocity profiles that are only locally of bounded total variation. The book covers the initial value problems for Einstein's gravitational field equations with fluid sources and shock wave initial data. It has a clearly outlined goal: proving a certain local existence theorem. Concluding remarks are added and commentary is provided throughout. The book will be useful to graduate students and researchers in mathematics and physics |
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| Item Description: | L'impression du document génère 156 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Bibliography: | Bibliogr. Index |
| ISBN: | 9780387446028 |
| ISSN: | 2196-9922 |
| Access: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |