Shock-Wave Solutions of the Einstein Equations with Perfect Fluid Sources: Existence and Consistency by a Locally Inertial Glimm Scheme
Title | Shock-Wave Solutions of the Einstein Equations with Perfect Fluid Sources: Existence and Consistency by a Locally Inertial Glimm Scheme PDF eBook |
Author | Jeff Groah |
Publisher | American Mathematical Soc. |
Pages | 98 |
Release | 2004 |
Genre | Mathematics |
ISBN | 082183553X |
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
Title | Shock Wave Interactions in General Relativity PDF eBook |
Author | Jeffrey Groah |
Publisher | Springer Science & Business Media |
Pages | 157 |
Release | 2007-04-03 |
Genre | Mathematics |
ISBN | 0387446028 |
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
Title | Hyperbolic Problems: Theory, Numerics, Applications PDF eBook |
Author | Sylvie Benzoni-Gavage |
Publisher | Springer Science & Business Media |
Pages | 1117 |
Release | 2008-01-12 |
Genre | Mathematics |
ISBN | 3540757120 |
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.
Holder Continuity of Weak Solutions to Subelliptic Equations with Rough Coefficients
Title | Holder Continuity of Weak Solutions to Subelliptic Equations with Rough Coefficients PDF eBook |
Author | Eric T. Sawyer |
Publisher | American Mathematical Soc. |
Pages | 176 |
Release | 2006 |
Genre | Mathematics |
ISBN | 0821838261 |
This mathematical monograph is a study of interior regularity of weak solutions of second order linear divergence form equations with degenerate ellipticity and rough coefficients. The authors show that solutions of large classes of subelliptic equations with bounded measurable coefficients are H lder continuous. They present two types of results f
Local Zeta Functions Attached to the Minimal Spherical Series for a Class of Symmetric Spaces
Title | Local Zeta Functions Attached to the Minimal Spherical Series for a Class of Symmetric Spaces PDF eBook |
Author | Nicole Bopp |
Publisher | American Mathematical Soc. |
Pages | 250 |
Release | 2005 |
Genre | Mathematics |
ISBN | 0821836234 |
Intends to prove a functional equation for a local zeta function attached to the minimal spherical series for a class of real reductive symmetric spaces.
Stability of Spherically Symmetric Wave Maps
Title | Stability of Spherically Symmetric Wave Maps PDF eBook |
Author | Joachim Krieger |
Publisher | American Mathematical Soc. |
Pages | 96 |
Release | 2006 |
Genre | Mathematics |
ISBN | 0821838776 |
Presents a study of Wave Maps from ${\mathbf{R}}^{2+1}$ to the hyperbolic plane ${\mathbf{H}}^{2}$ with smooth compactly supported initial data which are close to smooth spherically symmetric initial data with respect to some $H^{1+\mu}$, $\mu>0$.
Fredholm Operators and Einstein Metrics on Conformally Compact Manifolds
Title | Fredholm Operators and Einstein Metrics on Conformally Compact Manifolds PDF eBook |
Author | John M. Lee |
Publisher | American Mathematical Soc. |
Pages | 98 |
Release | 2006 |
Genre | Mathematics |
ISBN | 0821839152 |
"Volume 183, number 864 (end of volume)."