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Tuesday, July 14, 2020 | History

3 edition of Nonlinear wave equations for relativity found in the catalog.

Nonlinear wave equations for relativity

Maurice H. P. M. Van Putten

Nonlinear wave equations for relativity

by Maurice H. P. M. Van Putten

  • 217 Want to read
  • 30 Currently reading

Published by Cornell Theory Center, Cornell University in Ithaca, N.Y .
Written in English


Edition Notes

StatementMaurice H.P.M. van Putten, Douglas M. Eardley.
SeriesTechnical report / Cornell Theory Center -- CTC95TR216., Technical report (Cornell Theory Center) -- 216.
ContributionsEardley, Douglas M., Cornell Theory Center.
The Physical Object
Pagination8 p. ;
ID Numbers
Open LibraryOL17010285M
OCLC/WorldCa34310056

Nonlinear Partial Differential Equations in Engineering discusses methods of solution for nonlinear partial differential equations, particularly by using a unified treatment of analytic and numerical procedures. The book also explains analytic methods, approximation methods (such as asymptotic processes, perturbation procedures, weighted residual methods), and specific numerical procedures. (eds.) Geometric analysis, mathematical relativity, and nonlinear partial differential equations (proc.) | Ghomi M. | download | B–OK. Download books for free. Find.

Sergiu Klainerman (born ) is a mathematician known for his contributions to the study of hyperbolic differential equations and general is currently the Eugene Higgins Professor of Mathematics at Princeton University, where he has been teaching since Such equations lie at the heart of many areas of mathematical physics and arise not only in situations with a manifest time evolution (such as linear and nonlinear wave and Schrödinger equations) but also in the high energy or semi-classical limits of elliptic problems.

Lower Bounds for the Lifespan of Solutions to Nonlinear Wave Equations in Elasticity. Hideo Kubo. Pages Applications concerning elasticity and general relativity complement the volume. The book gives an overview of a variety of ongoing current research in the field and allows researchers as well as students to grasp new aspects and. A feature that distinguishes it from other books of this sort is its emphasis on using Littlewood-Paley decomposition to study nonlinear differential equations. the references, historical background, and discussion of possible future developments at the end of each chapter are very convenient for its readers.” (Lijing Sun, Zentralblatt.


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Nonlinear wave equations for relativity by Maurice H. P. M. Van Putten Download PDF EPUB FB2

Book Description. This work examines the mathematical aspects of nonlinear wave propagation, emphasizing nonlinear hyperbolic problems. It introduces the tools that are most effective for exploring the problems of local and global existence, singularity formation, and large-time behaviour of solutions, and for the study of perturbation methods.

Wave equations of hyperbolic, Schrodinger, and KdV type are discussed, as well as the Yang-Mills and the Vlasov-Maxwell equations. The book offers readers a broad overview of the field and an understanding of the most recent developments, as well as the status of some important unsolved problems.

Intended for mathematicians and physicists interested in nonlinear waves, this book 5/5(1). Abstract Gravitational wave motion is described by nonlinear wave equations using the tetrad and its connection as field variables.

The wave equations result from a Lorentz gauge on the. Synopsis. This book focuses on nonlinear wave equations, which are of considerable significance from both physical and theoretical perspectives. It also presents complete results on the lower bound estimates of lifespan (including the global existence), which are established for classical solutions to the Cauchy problem of nonlinear wave equations with small initial data in all possible Brand: Springer Berlin Heidelberg.

Nonlinear Wave Equations. This book focuses on nonlinear wave equations, which are of considerable significance from both physical and theoretical perspectives. It also presents complete results on the lower bound estimates of lifespan (including the global existence), which are established for classical solutions to the Cauchy problem of nonlinear wave equations with small initial data in all possible.

A second-order numerical implementation is given for recently derived non- linear wave equations for general relativity. The Gowdy T 3 cosmology is used as a test bed for studying the accuracy and convergence of simulations of.

This book brings together several aspects of soliton theory currently only available in research papers. Emphasis is given to the multi-dimensional problems arising and includes inverse scattering in multi-dimensions, integrable nonlinear evolution equations in multi-dimensions and the ∂ method.

Octo World Scientific Book - 9in x 6in PLF-YM-book page i The hyperboloidal foliation method for nonlinear wave equations Philippe G. LeFloch⇤ and Yue Ma⇤ ⇤Laboratoire Jacques-Louis Lions, Centre National de la Recherche Scientifique (CNRS), Universit´e Pierre et Marie Curie (Paris 6), 4 Place Jussieu, Paris, France.

The nonlinear wave equations for the connections, ωaµν, of the tetrad elements, {(eµ)a} satisfy nonlinear wave equations of the Yang-Mills type. They follow from a Lorentz gauge on the connections. In vacuo, they simplify to ✷ˆωaµν− [ωc,∇aωc]µν= 0. (1) Here, ✷ˆ = ∇ˆc∇ˆ.

Special Relativity Read P98 to The principle of special relativity: The laws of nature look exactly the same for all observers in inertial reference frames, regardless of their state of relative velocity.

The wave equation for an electric field in a vacuum. the nonlinear dispersive equations studied in the literature, but they are reasonably representative in that they showcase many of the techniques used for more general equations in a comparatively simple setting.

Each chapter of the monograph is devoted to a different class of differential. Containing key bibliographic citations, Nonlinear Wave Equations is an excellent reference for mathematical analysts and industrial and applied mathematicians; electrical and electronics, aerospace, mechanical, control, systems, and computer engineers; and physicists; as well as an invaluable text for graduate-level students in these.

Book of Abstracts The Eleventh IMACS International Conference On Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory Athens, Georgia April 17—19, Sponsored by The International Association for Mathematics and Computers in Simulation (IMACS) The Computer Science Department, University of Georgia.

This book, based on lectures presented by the author at George Mason University in Januaryseeks to present the sharpest results to date in this area. The author surveys the fundamental qualitative properties of the solutions of nonlinear wave equations in the absence of boundaries and shocks.

Introduction Just as the nonlinear advection equation looks the same as the linear advection equation ut+ cux= 0 except that the speed of sound cdepends on the solution u, so also the nonlinear wave equation is the linear wave equation uttc2uxx= 0 under the assumption that the speed of sound cdepends on the solution uas well.

Nonlinear wave equations are exposed in relation to recent important progress in general relativity, in purely mathematical terms of microlocal analysis, and as represented by progress on the relativistic Boltzmann equation. Most of the developments in this volume appear in book form for the first time.

Its self-contained presentation and 'do-it-yourself' approach make this the perfect guide for graduate students and researchers wishing to access recent literature in the field of nonlinear wave equations and general relativity. The Klein–Gordon equation (Klein–Fock–Gordon equation or sometimes Klein–Gordon–Fock equation) is a relativistic wave equation, related to the Schrödinger is second-order in space and time and manifestly is a quantized version of the relativistic energy–momentum solutions include a quantum scalar or pseudoscalar field, a field whose.

Overview. The focus of this week will be on general nonlinear wave equations that are not directly related to the theory of relativity.

Techniques developed for linear and non-linear wave equations arising from Lagrangian theories have been central tools in the dynamical study of Einstein's equations. In particular, those techniques based on the Littlewood-Paley decomposition have proved to be very efficient for the study of evolution equations.

The present book aims at presenting self-contained, state- of- the- art models of those techniques with applications to different classes of partial differential equations: transport, heat, wave and. Wave equations of hyperbolic, Schrodinger, and KdV type are discussed, as well as the Yang-Mills and the Vlasov-Maxwell equations.

The book offers readers a broad overview of the field and an understanding of the most recent developments, as well as the status of some important unsolved problems.

Intended for mathematicians and physicists interested in nonlinear waves, this book would .Time Decays: An Analogy between Kinetic Transport, Schrödinger and Gas Dynamics Equations. Théorème d'unicité et contrôle pour les équations hyperboliques. Shock Waves in General Relativity - A Generalization of the Oppenheimer-Snyder Model for Gravitational Collapse.

Nonlinear Wave Equations. Mathematical Models of Hysteresis - A : $Numerical methods for nonlinear waves John D.

Fenton the boundary. While the linearity of this equation is crucial in the development of theoretical solutions to wave problems, it is this mutually-dependent nature, and not the nonlinearity of the boundary conditions.