The Hyperboloidal Foliation Method is popular PDF and ePub book, written by Philippe G. LeFloch in 2014, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, The Hyperboloidal Foliation Method can be Read Online from any device for your convenience.
The Hyperboloidal Foliation Method Book PDF Summary
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.
Detail Book of The Hyperboloidal Foliation Method PDF
- Author : Philippe G. LeFloch
- Release : 21 September 2024
- Publisher : World Scientific Publishing Company Incorporated
- ISBN : 9814641626
- Genre : Mathematics
- Total Page : 149 pages
- Language : English
- PDF File Size : 13,6 Mb
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