Hyperboloidal Foliation Method, The
Book Details
Format
Hardback or Cased Book
Book Series
Series In Applied And Computational Mathematics
ISBN-10
9814641626
ISBN-13
9789814641623
Publisher
World Scientific Publishing Co Pte Ltd
Imprint
World Scientific Publishing Co Pte Ltd
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Jan 21st, 2015
Print length
160 Pages
Weight
380 grams
Dimensions
23.70 x 16.10 x 1.90 cms
Product Classification:
Differential calculus & equations
Ksh 11,150.00
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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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