Global Existence And Asymptotic Decay For Quasilinear Second Order Symmetric Hyperbolic Systems Of Partial Differential Equations Occurring In The Relativistic Dynamics Of Dissipative Fluids
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Global Existence And Asymptotic Decay For Quasilinear Second Order Symmetric Hyperbolic Systems Of Partial Differential Equations Occurring In The Relativistic Dynamics Of Dissipative Fluids
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Author : Matthias Sroczinski
language : en
Publisher:
Release Date : 2019
Global Existence And Asymptotic Decay For Quasilinear Second Order Symmetric Hyperbolic Systems Of Partial Differential Equations Occurring In The Relativistic Dynamics Of Dissipative Fluids written by Matthias Sroczinski and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with categories.
Quasilinear Hyperbolic Systems And Waves
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Author : Alan Jeffrey
language : en
Publisher: Pitman Publishing
Release Date : 1976
Quasilinear Hyperbolic Systems And Waves written by Alan Jeffrey and has been published by Pitman Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Mathematics categories.
"The solution to quasilinear first order hyperbolic systems of equations may be interpretated in terms of waves, which belong to a certain function class and propagate in some suitable space, the work all has a common feature the fact that it adds to the understanding of what may be called nonlinear wave propagation" - preface.
Partial Differential Equations In General Relativity
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Author : Alan D. Rendall
language : en
Publisher:
Release Date : 2008-04-03
Partial Differential Equations In General Relativity written by Alan D. Rendall and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-04-03 with Mathematics categories.
A text that will bring together PDE theory, general relativity and astrophysics to deliver an overview of theory of partial differential equations for general relativity. The text will include numerous examples and provide a unique resource for graduate students in mathematics and physics, numerical relativity and cosmology.
Hyperbolic Partial Differential Equations
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Author : Matthew Witten
language : en
Publisher: Elsevier
Release Date : 2014-05-23
Hyperbolic Partial Differential Equations written by Matthew Witten and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-23 with Mathematics categories.
Hyperbolic Partial Differential Equations III is a refereed journal issue that explores the applications, theory, and/or applied methods related to hyperbolic partial differential equations, or problems arising out of hyperbolic partial differential equations, in any area of research. This journal issue is interested in all types of articles in terms of review, mini-monograph, standard study, or short communication. Some studies presented in this journal include discretization of ideal fluid dynamics in the Eulerian representation; a Riemann problem in gas dynamics with bifurcation; periodic McKendrick equations for age-structured population growth; and logistic models of structured population growth. A number of book reviews are also included. This journal provides an interdisciplinary forum for the presentation of results not included in other particular journals, and thus will be beneficial to those interested in this field of study.
Some General Properties Of A Class Of Semilinear Hyperbolic Systems Analogous To The Differential Integral Equations Of Gas Dynamics
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Author : Howard E. Conner
language : en
Publisher:
Release Date : 1970
Some General Properties Of A Class Of Semilinear Hyperbolic Systems Analogous To The Differential Integral Equations Of Gas Dynamics written by Howard E. Conner and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Differential equations, Hyperbolic categories.
Hyperbolic Problems
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Author : Song Jiang
language : en
Publisher: World Scientific
Release Date : 2012
Hyperbolic Problems written by Song Jiang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.
This two-volume book is devoted to mathematical theory, numerics and applications of hyperbolic problems. Hyperbolic problems have not only a long history but also extremely rich physical background. The development is highly stimulated by their applications to Physics, Biology, and Engineering Sciences; in particular, by the design of effective numerical algorithms. Due to recent rapid development of computers, more and more scientists use hyperbolic partial differential equations and related evolutionary equations as basic tools when proposing new mathematical models of various phenomena and related numerical algorithms.This book contains 80 original research and review papers which are written by leading researchers and promising young scientists, which cover a diverse range of multi-disciplinary topics addressing theoretical, modeling and computational issues arising under the umbrella of OC Hyperbolic Partial Differential EquationsOCO. It is aimed at mathematicians, researchers in applied sciences and graduate students."
Notes On Time Decay And Scattering For Some Hyperbolic Problems
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Author : Cathleen S. Morawetz
language : en
Publisher: SIAM
Release Date : 1975-06-01
Notes On Time Decay And Scattering For Some Hyperbolic Problems written by Cathleen S. Morawetz and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975-06-01 with Mathematics categories.
Solutions of the wave equation or Maxwell's equations in boundary value and free space problems are analyzed. Hyperbolic systems in domains going off to infinity are studied. New results on Maxwell's equations and non-star shaped reflecting bodies are included.
Hyperbolic Equations And General Relativity
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Author : Marica Minucci
language : en
Publisher:
Release Date : 2019
Hyperbolic Equations And General Relativity written by Marica Minucci and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with Differential equations, Hyperbolic categories.
This work is divided into three parts. In the first part, the hyperbolic equations' theory is analysed, the second part concerns the Cauchy problem in General Relativity, whereas the third part gives a modern perspective of General Relativity.In the first part, the study of systems of partial differential equations allows the introduction of the concept of wave-like propagation and the definition of hyperbolic equation is given. Thus, once the definition of Riemann kernel is given, Riemann's method to solve a hyperbolic equation in two variables is shown. The discussion moves on the fundamental solutions and its relation to Riemann kernel is pointed out. Therefore, the study of the fundamental solutions concludes by showing how to build them providing some examples of solution with odd and even number of variables. Moreover, the fundamental solution of the scalar wave equation with smooth initial conditions is studied.In the second part, following the work of Fourès-Bruhat, the problem of finding a solution to the Cauchy problem for Einstein field equations in vacuum with non-analytic initial data is presented by first studying under which assumptions second-order systems of partial differential equations, linear and hyperbolic, with n functions and four variables admit a solution. Hence, it is shown how to turn non-linear systems of partial differential equations into linear systems of the same type for which the previous results hold. These considerations allow us to prove the existence and uniqueness of the solution to the Cauchy problem for Einstein's vacuum field equations with non-analytic initial data. Eventually, the causal structure of space-time is studied. The definitions of strong causality, stable causality and global hyperbolicity are given and the relation between the property of global hyperbolicity and the existence of Cauchy surfaces is stressed. In the third part, Riemann's method is used to study the news function describing the gravitational radiation produced in axisymmetric black hole collisions at the speed of light. More precisely, since the perturbative field equations may be reduced to equations in two independent variables, as was proved by D'Eath and Payne, the Green function can be analysed by studying the corresponding second-order hyperbolic operator with variable coefficients. Thus, an integral representation of the solution in terms of the Riemann kernel function can be given.
Global Classical Solutions For Quasilinear Hyperbolic Systems
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Author : Daqian Li
language : en
Publisher: John Wiley & Sons
Release Date : 1994
Global Classical Solutions For Quasilinear Hyperbolic Systems written by Daqian Li and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Boundary value problems categories.
Some General Properties Of A Class Of Semilinear Hyperbolic Systems Analogous To The Differential Integral Equations Of Gas Dynamics
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Author :
language : en
Publisher:
Release Date : 1970
Some General Properties Of A Class Of Semilinear Hyperbolic Systems Analogous To The Differential Integral Equations Of Gas Dynamics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with categories.
The paper discusses the general structure of a class of semilinear hyperbolic systems analogous to the Boltzmann equations for a gas model with discretized velocity states, using a background of nonequilibrium theory for gas dynamics. The global existence of (nonnegative) solutions associated with nonnegative initial data is developed. Some auxiliary results on a linear conjugacy of systems and on monotonicity and smoothness properties of general (local) solutions are given.