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
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Author : Jeff Groah
language : en
Publisher: American Mathematical Soc.
Release Date : 2004
Shock Wave Solutions Of The Einstein Equations With Perfect Fluid Sources Existence And Consistency By A Locally Inertial Glimm Scheme written by Jeff Groah and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
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
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Author : Jeffrey Groah
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-04-03
Shock Wave Interactions In General Relativity written by Jeffrey Groah and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-04-03 with Mathematics categories.
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.
Shock Wave Interactions In General Relativity
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Author : Jeffrey Groah
language : en
Publisher: Springer
Release Date : 2006-11-30
Shock Wave Interactions In General Relativity written by Jeffrey Groah and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-30 with Mathematics categories.
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
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Author : Sylvie Benzoni-Gavage
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-01-12
Hyperbolic Problems Theory Numerics Applications written by Sylvie Benzoni-Gavage and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-12 with Mathematics categories.
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
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Author : Eric T. Sawyer
language : en
Publisher: American Mathematical Soc.
Release Date : 2006
Holder Continuity Of Weak Solutions To Subelliptic Equations With Rough Coefficients written by Eric T. Sawyer and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.
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
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Author : Nicole Bopp
language : en
Publisher: American Mathematical Soc.
Release Date : 2005
Local Zeta Functions Attached To The Minimal Spherical Series For A Class Of Symmetric Spaces written by Nicole Bopp and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
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
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Author : Joachim Krieger
language : en
Publisher: American Mathematical Soc.
Release Date : 2006
Stability Of Spherically Symmetric Wave Maps written by Joachim Krieger and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.
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
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Author : John M. Lee
language : en
Publisher: American Mathematical Soc.
Release Date : 2006
Fredholm Operators And Einstein Metrics On Conformally Compact Manifolds written by John M. Lee and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.
"Volume 183, number 864 (end of volume)."
Tangential Boundary Stabilization Of Navier Stokes Equations
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Author : Viorel Barbu
language : en
Publisher: American Mathematical Soc.
Release Date : 2006
Tangential Boundary Stabilization Of Navier Stokes Equations written by Viorel Barbu and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.
In order to inject dissipation as to force local exponential stabilization of the steady-state solutions, an Optimal Control Problem (OCP) with a quadratic cost functional over an infinite time-horizon is introduced for the linearized N-S equations. As a result, the same Riccati-based, optimal boundary feedback controller which is obtained in the linearized OCP is then selected and implemented also on the full N-S system. For $d=3$, the OCP falls definitely outside the boundaries of established optimal control theory for parabolic systems with boundary controls, in that the combined index of unboundedness--between the unboundedness of the boundary control operator and the unboundedness of the penalization or observation operator--is strictly larger than $\tfrac{3}{2}$, as expressed in terms of fractional powers of the free-dynamics operator. In contrast, established (and rich) optimal control theory [L-T.2] of boundary control parabolic problems and corresponding algebraic Riccati theory requires a combined index of unboundedness strictly less than 1. An additional preliminary serious difficulty to overcome lies at the outset of the program, in establishing that the present highly non-standard OCP--with the aforementioned high level of unboundedness in control and observation operators and subject, moreover, to the additional constraint that the controllers be pointwise tangential--be non-empty; that is, it satisfies the so-called Finite Cost Condition [L-T.2].
The Complex Monge Ampere Equation And Pluripotential Theory
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Author : Sławomir Kołodziej
language : en
Publisher: American Mathematical Soc.
Release Date : 2005
The Complex Monge Ampere Equation And Pluripotential Theory written by Sławomir Kołodziej and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
We collect here results on the existence and stability of weak solutions of complex Monge-Ampere equation proved by applying pluripotential theory methods and obtained in past three decades. First we set the stage introducing basic concepts and theorems of pluripotential theory. Then the Dirichlet problem for the complex Monge-Ampere equation is studied. The main goal is to give possibly detailed description of the nonnegative Borel measures which on the right hand side of the equation give rise to plurisubharmonic solutions satisfying additional requirements such as continuity, boundedness or some weaker ones. In the last part, the methods of pluripotential theory are implemented to prove the existence and stability of weak solutions of the complex Monge-Ampere equation on compact Kahler manifolds. This is a generalization of the Calabi-Yau theorem.