1 edition of Nonlinear hyperbolic equations and field theory found in the catalog.
Nonlinear hyperbolic equations and field theory
|Statement||M.K.V. Murthy and S. Spagnolo (editors).|
|Series||Pitman research notes in mathematics series,, 253|
|Contributions||Murthy, M. K. V., Spagnolo, S., Workshop on Nonlinear Hyperbolic Equations and Field Theory (1990 : Lake Como, Italy)|
|LC Classifications||QA377 .N665 1991|
|The Physical Object|
|Pagination||227 p. ;|
|Number of Pages||227|
|LC Control Number||91018565|
The next paper addresses questions of local existence of solutions, blow-up criteria, and C^8 regularity for quasilinear weakly hyperbolic equations. Spectral theory of semibounded selfadjoint operators is the topic of a further contribution, providing upper and lower bounds for the bottom eigenvalue as well as an upper bound for the second. Nonlinear Hyperbolic Waves in Multidimensions includes all introductory material on nonlinear hyperbolic waves and the theory of shock waves. The author derives the ray theory for a nonlinear wavefront, discusses kink phenomena, and develops a new Author: Phoolan Prasad.
Evolution equations of hyperbolic or more general p-evolution type form an active field of current research. This volume aims to collect some recent advances in the area in order to allow a quick overview of ongoing research. The contributors are first rate mathematicians. This collection of. “This is a concise introduction to the main aspects of the theory of hyperbolic partial differential equations. This work is highly recommended for a quick and smooth entry into this field of great current interest.” (M. Kunzinger, Monatshefte für Mathematik, Vol. (1), May, )Brand: Springer-Verlag New York.
() An Asymptotic Theory for a Class of Initial-Boundary Value Problems for Weakly Nonlinear Wave Equations with an Application to a Model of the Galloping Oscillations of Overhead Transmission Lines. SIAM Journal on Applied Mathematics , Abstract | PDF ( KB)Cited by: Equations. Nonlinear Theory. In order to receive credits, you should write a. miniproject ( pages) after the end of the Lectures on Nonlinear Hyperbolic Differential Equations Springer-Verlag: Berlin-Heidelberg, Lectures on Nonlinear Wave Equations, Second .
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Texts of lectures from a Workshop on Nonlinear Hyperbolic Equations and Field Theory, held at Villa Monastero, Lake Como, Italy, during June Description: pages ; 25 cm. Series Title: Pitman research notes in mathematics series, Responsibility: M.K.V. Murthy and S. Spagnolo (editors). Partly because it addresses nonlinear hyperbolic operators, and that is unusual.
Almost any book Nonlinear hyperbolic equations and field theory book this subject would stay with the linear setting, and the hyperbolic non-linear notion is very tied to the field equations of Quantum Field Theory(QFT), which are usually hyperbolic and non-linear.
Abstract. Here we study nonlinear hyperbolic equations, with emphasis on quasi-linear systems arising from continuum mechanics, describing such physical phenomena as vibrating strings and membranes and the motion of a compressible fluid, such as : Michael E. Taylor. hyperbolic equations and related topics Download hyperbolic equations and related topics or read online books in PDF, EPUB, Tuebl, and Mobi Format.
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The content of this book corresponds to a one-semester course taught at the University of Paris-Sud (Orsay) in the spring It is accessible to students or researchers with a basic elementary knowledge of Partial Dif ferential Equations, especially of hyperbolic PDE (Cauchy problem, wave operator, energy inequality, finite speed of propagation, symmetric systems, etc.).Cited by: Nonlinear Differential Equations: Invariance, Stability, and Bifurcation presents the developments in the qualitative theory of nonlinear differential equations.
This book discusses the exchange of mathematical ideas in stability and bifurcation theory. Organized into 26 chapters, this book begins with an overview of the initial value problem Book Edition: 1. Hyperbolic Partial Differential Equations, Volume 1: Population, Reactors, Tides and Waves: Theory and Applications covers three general areas of hyperbolic partial differential equation applications.
These areas include problems related to the McKendrick/Von Foerster population equations, other hyperbolic form equations, and the numerical.
Rent or buy Nonlinear Hyperbolic Equations and Field Theory - Exact Solutions > Nonlinear Partial Differential Equations > Second-Order Hyperbolic Partial Differential Equations 2. Nonlinear Hyperbolic Equations Nonlinear Wave Equations of the Form @ 2w @t2 = [email protected] 2w @x2 + f(w) @2w @t2 = @2w @x2 + aw + bwn.
Klein–Gordon equation with a power-law nonlinearity @2w @t2 = @2w @x2 + awn + bw2n File Size: 37KB. Get this from a library. Nonlinear wave equations. [Satyanad Kichenassamy] -- This up-to-date reference/text examines the mathematical aspects of nonlinear wave propagation - emphasizing nonlinear hyperbolic problems - and introduces the most effective tools for the study of.
The nonlinear structures emphasized here are the nonlinear hyperbolic waves, which occur in the solutions of nonlinear hyperbolic conservation laws and associated dissipative : Michael E.
Taylor. In this introductory textbook, a revised and extended version of well-known lectures by L. Hörmander fromfour chapters are devoted to weak solutions of systems of conservation laws. Apart from that the book only studies classical solutions.
Two chapters concern the existence of global solutions or estimates of the lifespan for solutions of nonlinear perturbations of the wave or Klein 4/5(1).
Existence Theory for Nonlinear Ordinary Differential Equations - Ebook written by Donal O'Regan. Read this book using Google Play Books app on your PC, android, iOS devices. Download for offline reading, highlight, bookmark or take notes while you read Existence Theory for Nonlinear Ordinary Differential : Donal O'regan.
This book provides a new focus on the increasing use of mathematical applications in the life sciences, while also addressing key topics such as linear PDEs, first-order nonlinear PDEs, classical and weak solutions, shocks, hyperbolic systems, nonlinear diffusion, and elliptic equations.
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.
The content of this book corresponds to a one-semester course taught at the University of Paris-Sud (Orsay) in the spring It is accessible to students or researchers with a basic elementary knowledge of Partial Dif ferential Equations, especially of hyperbolic PDE (Cauchy problem, wave operator, energy inequality, finite speed of propagation, symmetric systems, etc.).Author: Serge Alinhac.
Nonlinear algebraic equations, which are also called polynomial equations, are defined by equating polynomials (of degree greater than one) to zero. For example, + −. For a single polynomial equation, root-finding algorithms can be used to find solutions to the equation (i.e., sets of values for the variables that satisfy the equation).
However, systems of algebraic equations are more. In general theory of relativity the Einstein field equations (EFE; also known as Einstein's equations) relate the geometry of space-time with the distribution of matter within it. The equations were first published by Einstein in in the form of a tensor equation which related the local spacetime curvature (expressed by the Einstein tensor) with the local energy and momentum within that.
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. The mathematical theory of hyperbolic systems of conservation laws and the theory of shock waves presented in these lectures were started by Eberhardt Hopf infollowed in a series of studies. Partly because it addresses nonlinear hyperbolic operators, and that is unusual.
Almost any book in this subject would stay with the linear setting, and the hyperbolic non-linear notion is very tied to the field equations of Quantum Field Theory(QFT), which are usually hyperbolic and non-linear.4/5(1).
The book should be particularly suitable for graduate students, courses for PhD students, and also for researchers working in the fields of modern theory and numerical analysis of nonlinear hyperbolic partial differential equations, and in theoretical continuum by: This method of solution of () is easily extended to nonlinear equations of the form ut +aux =f(t,x,u).
() See Exercises, and for more on nonlinear equations of this form. SystemsofHyperbolicEquations We now examine systems of hyperbolic equations with constant coefﬁcients in one space Size: 1MB.