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Hyperboloidal Foliation Method, the - Series in Applied and Computational Mathematics LeFloch, Philippe G (Universite Pierre et Marie Curie, France)
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Hyperboloidal Foliation Method, the - Series in Applied and Computational Mathematics
LeFloch, Philippe G (Universite Pierre et Marie Curie, France)
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.
160 pages, black & white illustrations
| Mídia | Livros Hardcover Book (Livro com lombada e capa dura) |
| Lançado | 21 de janeiro de 2015 |
| ISBN13 | 9789814641623 |
| Editoras | World Scientific Publishing Co Pte Ltd |
| Páginas | 160 |
| Dimensões | 161 × 237 × 19 mm · 380 g |
| Idioma | Inglês |
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