Shock Wave Solutions Of The Einstein Equations With Perfect Fluid Sources Existence And Consistency By A Locally Inertial Glimm Scheme
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Shock-Wave Solutions of the Einstein Equations with Perfect Fluid Sources: Existence and Consistency by a Locally Inertial Glimm Scheme
Demonstrates the consistency of the Einstein equations at the level of shock-waves by proving the existence of shock wave solutions of the spherically symmetric Einstein equations for a perfect fluid, starting from initial density and velocity profiles that are only locally of bounded total variation.
Shock Wave Interactions in General Relativity
Author: Jeffrey Groah
language: en
Publisher: Springer Science & Business Media
Release Date: 2007-04-03
This monograph presents a self contained mathematical treatment of the initial value problem for shock wave solutions of the Einstein equations in General Relativity. It has a clearly outlined goal: proving a certain local existence theorem. Concluding remarks are added and commentary is provided throughout. The author is a well regarded expert in this area.
Hyperbolic Problems: Theory, Numerics, Applications
Author: Sylvie Benzoni-Gavage
language: en
Publisher: Springer Science & Business Media
Release Date: 2008-01-12
This volume contains papers that were presented at HYP2006, the eleventh international Conference on Hyperbolic Problems: Theory, Numerics and Applications. This biennial series of conferences has become one of the most important international events in Applied Mathematics. As computers became more and more powerful, the interplay between theory, modeling, and numerical algorithms gained considerable impact, and the scope of HYP conferences expanded accordingly.