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Author : Alan Jeffrey
Publisher :
ISBN 13 :
Total Pages : 230 pages
Book Rating : 4.:/5 (878 download)
Download or read book Quasilinear Hyperbolic Systems and Waves written by Alan Jeffrey and published by . This book was released on 1978 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vishnu D. Sharma
Publisher : CRC Press
ISBN 13 : 1439836914
Total Pages : 284 pages
Book Rating : 4.4/5 (398 download)
Download or read book Quasilinear Hyperbolic Systems, Compressible Flows, and Waves written by Vishnu D. Sharma and published by CRC Press. This book was released on 2010-04-29 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Filled with practical examples, Quasilinear Hyperbolic Systems, Compressible Flows, and Waves presents a self-contained discussion of quasilinear hyperbolic equations and systems with applications. It emphasizes nonlinear theory and introduces some of the most active research in the field.After linking continuum mechanics and quasilinear partial di
Author : Eduardo H. Zarantonello
Publisher : Academic Press
ISBN 13 : 1483266621
Total Pages : 687 pages
Book Rating : 4.4/5 (832 download)
Download or read book Contributions to Nonlinear Functional Analysis written by Eduardo H. Zarantonello and published by Academic Press. This book was released on 2014-05-10 with total page 687 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contributions to Nonlinear Functional Analysis contains the proceedings of a Symposium on Nonlinear Functional Analysis, held in Madison, Wisconsin, on April 12-14, 1971, under the sponsorship of the University of Wisconsin's Mathematics Research Center. The symposium provided a forum for discussing various topics related to nonlinear functional analysis, from transversality in nonlinear eigenvalue problems to monotonicity methods in Hilbert spaces and some applications to nonlinear partial differential equations. Comprised of 15 chapters, this book begins by presenting an extension of Leray-Schauder degree and an application to a nonlinear elliptic boundary value problem. The discussion then turns to the use of degree theory to prove the existence of global continua of solutions of nonlinear eigenvalue problems; transversality in nonlinear eigenvalue problems; and how variational structure can be used to study some local questions in bifurcation theory. Subsequent chapters deal with the notion of monotone operators and monotonicity theory; a nonlinear version of the Hille-Yosida theorem; a version of the penalty method for the Navier-Stokes equations; and various types of weak solutions for minimizing problems in the spirit of duality theory for convex functionals. This monograph will be of interest to students and practitioners in the field of mathematics who want to learn more about nonlinear functional analysis.
Author : Alan Jeffrey
Publisher : Pitman Publishing
ISBN 13 :
Total Pages : 250 pages
Book Rating : 4.3/5 (91 download)
Download or read book Quasilinear Hyperbolic Systems and Waves written by Alan Jeffrey and published by Pitman Publishing. This book was released on 1976 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.
Author : Ling Hsiao
Publisher : World Scientific
ISBN 13 : 9814497185
Total Pages : 233 pages
Book Rating : 4.8/5 (144 download)
Download or read book Quasilinear Hyperbolic Systems And Dissipative Mechanisms written by Ling Hsiao and published by World Scientific. This book was released on 1998-02-24 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the recent developments in the subject of quasilinear hyperbolic systems with dissipation, such as frictional damping, relaxation, viscosity and heat diffusion. The mathematical theory behind this subject is emphasized in two ways. One emphasis is based on understanding the influence of the dissipation mechanism on the qualitative behavior of solutions, such as the nonlinear diffusive phenomena caused by damping, and other phenomena (including phase transition) for the case with viscosity and heat diffusion. The second emphasis is to take the systems with the dissipation mechanism as an approach to approximating the corresponding system of quasilinear hyperbolic conservation laws - the zero-limit relaxation, or the zero-limit viscosity, and the related topic of nonlinear stability of waves.
Author : Peter D. Lax
Publisher : SIAM
ISBN 13 : 0898711770
Total Pages : 55 pages
Book Rating : 4.8/5 (987 download)
Download or read book Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shock Waves written by Peter D. Lax and published by SIAM. This book was released on 1973-01-01 with total page 55 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the mathematical side of the theory of shock waves. The author presents what is known about the existence and uniqueness of generalized solutions of the initial value problem subject to the entropy conditions. The subtle dissipation introduced by the entropy condition is investigated and the slow decay in signal strength it causes is shown.
Author : Alfred Grundland
Publisher :
ISBN 13 :
Total Pages : 202 pages
Book Rating : 4.:/5 (41 download)
Download or read book Simple Waves and Their Interactions in Quasilinear Hyperbolic Systems written by Alfred Grundland and published by . This book was released on 1982 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Hyun-Ku Rhee
Publisher : Prentice Hall
ISBN 13 :
Total Pages : 570 pages
Book Rating : 4.X/5 (1 download)
Download or read book First-order Partial Differential Equations: Theory and application of single equations written by Hyun-Ku Rhee and published by Prentice Hall. This book was released on 1986 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alan Jeffrey
Publisher : Pitman Publishing
ISBN 13 :
Total Pages : 254 pages
Book Rating : 4.:/5 (41 download)
Download or read book Quasilinear Hyperbolic Systems and Waves written by Alan Jeffrey and published by Pitman Publishing. This book was released on 1976 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.
Author : Jean-michel Coron
Publisher : World Scientific
ISBN 13 : 9813276193
Total Pages : 395 pages
Book Rating : 4.8/5 (132 download)
Download or read book One-dimensional Hyperbolic Conservation Laws And Their Applications written by Jean-michel Coron and published by World Scientific. This book was released on 2019-01-08 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of lecture notes for the LIASFMA Shanghai Summer School on 'One-dimensional Hyperbolic Conservation Laws and Their Applications' which was held during August 16 to August 27, 2015 at Shanghai Jiao Tong University, Shanghai, China. This summer school is one of the activities promoted by Sino-French International Associate Laboratory in Applied Mathematics (LIASFMA in short). LIASFMA was established jointly by eight institutions in China and France in 2014, which is aimed at providing a platform for some of the leading French and Chinese mathematicians to conduct in-depth researches, extensive exchanges, and student training in the field of applied mathematics. This summer school has the privilege of being the first summer school of the newly established LIASFMA, which makes it significant.
Author : Boris Leonidovich Rozhdestvenski_
Publisher : American Mathematical Soc.
ISBN 13 : 9780821898062
Total Pages : 700 pages
Book Rating : 4.8/5 (98 download)
Download or read book Systems of Quasilinear Equations and Their Applications to Gas Dynamics written by Boris Leonidovich Rozhdestvenski_ and published by American Mathematical Soc.. This book was released on 1983-12-31 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is essentially a new edition, revised and augmented by results of the last decade, of the work of the same title published in 1968 by ``Nauka.'' It is devoted to mathematical questions of gas dynamics. Topics covered include Foundations of the Theory of Systems of Quasilinear Equations of Hyperbolic Type in Two Independent Variables; Classical and Generalized Solutions of One-Dimensional Gas Dynamics; Difference Methods for Solving the Equations of Gas Dynamics; and Generalized Solutions of Systems of Quasilinear Equations of Hyperbolic Type.
Author : James Glimm
Publisher : American Mathematical Soc.
ISBN 13 : 0821818015
Total Pages : 134 pages
Book Rating : 4.8/5 (218 download)
Download or read book Decay of Solutions of Systems of Nonlinear Hyperbolic Conservation Laws written by James Glimm and published by American Mathematical Soc.. This book was released on 1970 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J.M. Ball
Publisher : Springer Science & Business Media
ISBN 13 : 9400971893
Total Pages : 476 pages
Book Rating : 4.4/5 (9 download)
Download or read book Systems of Nonlinear Partial Differential Equations written by J.M. Ball and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of a NATO/London Mathematical Society Advanced Study Institute held in Oxford from 25 July - 7 August 1982. The institute concerned the theory and applications of systems of nonlinear partial differential equations, with emphasis on techniques appropriate to systems of more than one equation. Most of the lecturers and participants were analysts specializing in partial differential equations, but also present were a number of numerical analysts, workers in mechanics, and other applied mathematicians. The organizing committee for the institute was J.M. Ball (Heriot-Watt), T.B. Benjamin (Oxford), J. Carr (Heriot-Watt), C.M. Dafermos (Brown), S. Hildebrandt (Bonn) and J.S. pym (Sheffield) . The programme of the institute consisted of a number of courses of expository lectures, together with special sessions on different topics. It is a pleasure to thank all the lecturers for the care they took in the preparation of their talks, and S.S. Antman, A.J. Chorin, J.K. Hale and J.E. Marsden for the organization of their special sessions. The institute was made possible by financial support from NATO, the London Mathematical Society, the u.S. Army Research Office, the u.S. Army European Research Office, and the u.S. National Science Foundation. The lectures were held in the Mathematical Institute of the University of Oxford, and residential accommodation was provided at Hertford College.
Author : A.G. Kulikovskii
Publisher : CRC Press
ISBN 13 : 1482273993
Total Pages : 555 pages
Book Rating : 4.4/5 (822 download)
Download or read book Mathematical Aspects of Numerical Solution of Hyperbolic Systems written by A.G. Kulikovskii and published by CRC Press. This book was released on 2000-12-21 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: This important new book sets forth a comprehensive description of various mathematical aspects of problems originating in numerical solution of hyperbolic systems of partial differential equations. The authors present the material in the context of the important mechanical applications of such systems, including the Euler equations of gas dynamics,
Author : Randall J. LeVeque
Publisher : Cambridge University Press
ISBN 13 : 1139434187
Total Pages : 582 pages
Book Rating : 4.1/5 (394 download)
Download or read book Finite Volume Methods for Hyperbolic Problems written by Randall J. LeVeque and published by Cambridge University Press. This book was released on 2002-08-26 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, first published in 2002, contains an introduction to hyperbolic partial differential equations and a powerful class of numerical methods for approximating their solution, including both linear problems and nonlinear conservation laws. These equations describe a wide range of wave propagation and transport phenomena arising in nearly every scientific and engineering discipline. Several applications are described in a self-contained manner, along with much of the mathematical theory of hyperbolic problems. High-resolution versions of Godunov's method are developed, in which Riemann problems are solved to determine the local wave structure and limiters are then applied to eliminate numerical oscillations. These methods were originally designed to capture shock waves accurately, but are also useful tools for studying linear wave-propagation problems, particularly in heterogenous material. The methods studied are implemented in the CLAWPACK software package and source code for all the examples presented can be found on the web, along with animations of many of the simulations. This provides an excellent learning environment for understanding wave propagation phenomena and finite volume methods.
Author : Julian L. Davis
Publisher : Springer Science & Business Media
ISBN 13 : 1461232848
Total Pages : 303 pages
Book Rating : 4.4/5 (612 download)
Download or read book Wave Propagation in Electromagnetic Media written by Julian L. Davis and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second work of a set of two volumes on the phenomena of wave propagation in nonreacting and reacting media. The first, entitled Wave Propagation in Solids and Fluids (published by Springer-Verlag in 1988), deals with wave phenomena in nonreacting media (solids and fluids). This book is concerned with wave propagation in reacting media-specifically, in electro magnetic materials. Since these volumes were designed to be relatively self contained, we have taken the liberty of adapting some of the pertinent material, especially in the theory of hyperbolic partial differential equations (concerned with electromagnetic wave propagation), variational methods, and Hamilton-Jacobi theory, to the phenomena of electromagnetic waves. The purpose of this volume is similar to that of the first, except that here we are dealing with electromagnetic waves. We attempt to present a clear and systematic account of the mathematical methods of wave phenomena in electromagnetic materials that will be readily accessible to physicists and engineers. The emphasis is on developing the necessary mathematical tech niques, and on showing how these methods of mathematical physics can be effective in unifying the physics of wave propagation in electromagnetic media. Chapter 1 presents the theory of time-varying electromagnetic fields, which involves a discussion of Faraday's laws, Maxwell's equations, and their appli cations to electromagnetic wave propagation under a variety of conditions.
Author : Serge Alinhac
Publisher : Springer Science & Business Media
ISBN 13 : 0387878238
Total Pages : 159 pages
Book Rating : 4.3/5 (878 download)
Download or read book Hyperbolic Partial Differential Equations written by Serge Alinhac and published by Springer Science & Business Media. This book was released on 2009-06-17 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: This excellent introduction to hyperbolic differential equations is devoted to linear equations and symmetric systems, as well as conservation laws. The book is divided into two parts. The first, which is intuitive and easy to visualize, includes all aspects of the theory involving vector fields and integral curves; the second describes the wave equation and its perturbations for two- or three-space dimensions. Over 100 exercises are included, as well as "do it yourself" instructions for the proofs of many theorems. Only an understanding of differential calculus is required. Notes at the end of the self-contained chapters, as well as references at the end of the book, enable ease-of-use for both the student and the independent researcher.
