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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
The Hyperboloidal Foliation Method

The Hyperboloidal Foliation Method

Lefloch Philippe G

Hardcover

Series: Applied and Computational Mathematics, Book 2

General MathematicsPhysics

ISBN10: 9814641626
ISBN13: 9789814641623
Publisher: World Scientific Publishing Company
Published: Dec 7 2014
Pages: 160
Weight: 0.85
Height: 0.44 Width: 6.00 Depth: 9.00
Language: English
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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