Title: HYPERBOLOIDAL FOLIATION METHOD, THE (Applied and Computational Mathematics)
Publisher: World Scientific Publishing Company
Publication Date: 2014
Language: English
ISBN 10: 9814641626
ISBN 13: 9789814641623
Binding: Hardcover
Condition: New

About this title

Synopsis

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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