The Hyperboloidal Foliation Method

Philippe G Lefloch ,

ISBN 10: 9814641626 / ISBN 13: 9789814641623

Published by World Scientific Publishing Company, 2014

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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.

Review: This book is very useful for mathematicians, master or PhD students in the fields of applied and computational mathematics, mathematical physics and some other fields. --Zentralblatt MATH

Bibliographic Details

Title: The Hyperboloidal Foliation Method
Publisher: World Scientific Publishing Company
Publication Date: 2014
Binding: Hardcover
Condition: Brand New