Cauchy Problem for Quasilinear Hyperbolic Systems

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ISBN 13 :
Total Pages : 181 pages
Book Rating : 4.:/5 (315 download)

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Book Synopsis Cauchy Problem for Quasilinear Hyperbolic Systems by : Liu Fagui

Download or read book Cauchy Problem for Quasilinear Hyperbolic Systems written by Liu Fagui and published by . This book was released on 2006 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Cauchy Problem for Quasilinear Hyperbolic Systems

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Publisher :
ISBN 13 :
Total Pages : 232 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Cauchy Problem for Quasilinear Hyperbolic Systems by : De-xing Kong

Download or read book Cauchy Problem for Quasilinear Hyperbolic Systems written by De-xing Kong and published by . This book was released on 2000-12 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:

On the Cauchy Problem for Quasilinear Hyperbolic Systems of Partial Differential-functional Equations of the First Order

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (13 download)

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Book Synopsis On the Cauchy Problem for Quasilinear Hyperbolic Systems of Partial Differential-functional Equations of the First Order by : Tomasz Człapiński

Download or read book On the Cauchy Problem for Quasilinear Hyperbolic Systems of Partial Differential-functional Equations of the First Order written by Tomasz Człapiński and published by . This book was released on 1989 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Global Classical Solutions for Quasilinear Hyperbolic Systems

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ISBN 13 :
Total Pages : 340 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Global Classical Solutions for Quasilinear Hyperbolic Systems by : Daqian Li

Download or read book Global Classical Solutions for Quasilinear Hyperbolic Systems written by Daqian Li and published by . This book was released on 1994-09-06 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: A systematic presentation of the global classical solution and the global classical discontinuous solution to quasilinear hyperbolic systems. This book is a result of the author's research on the Cauchy problem, boundary value problems, free boundary problems and the generalised Riemann problem.

Quasilinear Hyperbolic Systems and Waves

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Publisher : Pitman Publishing
ISBN 13 :
Total Pages : 250 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Quasilinear Hyperbolic Systems and Waves by : Alan Jeffrey

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.

Quasilinear Hyperbolic Systems And Dissipative Mechanisms

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Publisher : World Scientific
ISBN 13 : 9814497185
Total Pages : 233 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Quasilinear Hyperbolic Systems And Dissipative Mechanisms by : Ling Hsiao

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.

On the Cauchy Problem for Quasilinear Hyperbolic System of Partial Differential Equations with a Retarded Argument

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (979 download)

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Book Synopsis On the Cauchy Problem for Quasilinear Hyperbolic System of Partial Differential Equations with a Retarded Argument by : Zdzisław Kamont

Download or read book On the Cauchy Problem for Quasilinear Hyperbolic System of Partial Differential Equations with a Retarded Argument written by Zdzisław Kamont and published by . This book was released on 1984 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Hyperbolic Systems with Analytic Coefficients

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Publisher : Springer
ISBN 13 : 3319022733
Total Pages : 245 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Hyperbolic Systems with Analytic Coefficients by : Tatsuo Nishitani

Download or read book Hyperbolic Systems with Analytic Coefficients written by Tatsuo Nishitani and published by Springer. This book was released on 2013-11-19 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph focuses on the well-posedness of the Cauchy problem for linear hyperbolic systems with matrix coefficients. Mainly two questions are discussed: (A) Under which conditions on lower order terms is the Cauchy problem well posed? (B) When is the Cauchy problem well posed for any lower order term? For first order two by two systems with two independent variables with real analytic coefficients, we present complete answers for both (A) and (B). For first order systems with real analytic coefficients we prove general necessary conditions for question (B) in terms of minors of the principal symbols. With regard to sufficient conditions for (B), we introduce hyperbolic systems with nondegenerate characteristics, which contain strictly hyperbolic systems, and prove that the Cauchy problem for hyperbolic systems with nondegenerate characteristics is well posed for any lower order term. We also prove that any hyperbolic system which is close to a hyperbolic system with a nondegenerate characteristic of multiple order has a nondegenerate characteristic of the same order nearby.

Cauchy's Problem for Hyperbolic Equations

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ISBN 13 :
Total Pages : 322 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Cauchy's Problem for Hyperbolic Equations by : Lars Gårding

Download or read book Cauchy's Problem for Hyperbolic Equations written by Lars Gårding and published by . This book was released on 1958 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt:

On the Cauchy Problem for Quasilinear Hyperbolic Equations with Time Degeneration

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ISBN 13 :
Total Pages : 42 pages
Book Rating : 4.:/5 (311 download)

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Book Synopsis On the Cauchy Problem for Quasilinear Hyperbolic Equations with Time Degeneration by : Michael Reissig

Download or read book On the Cauchy Problem for Quasilinear Hyperbolic Equations with Time Degeneration written by Michael Reissig and published by . This book was released on 1993 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Hyperbolic Systems of Conservation Laws

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Publisher : Oxford University Press, USA
ISBN 13 : 9780198507000
Total Pages : 270 pages
Book Rating : 4.5/5 (7 download)

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Book Synopsis Hyperbolic Systems of Conservation Laws by : Alberto Bressan

Download or read book Hyperbolic Systems of Conservation Laws written by Alberto Bressan and published by Oxford University Press, USA. This book was released on 2000 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a self-contained introduction to the mathematical theory of hyperbolic systems of conservation laws, with particular emphasis on the study of discontinuous solutions, characterized by the appearance of shock waves. This area has experienced substantial progress in very recent years thanks to the introduction of new techniques, in particular the front tracking algorithm and the semigroup approach. These techniques provide a solution to the long standing open problems of uniqueness and stability of entropy weak solutions. This volume is the first to present a comprehensive account of these new, fundamental advances. It also includes a detailed analysis of the stability and convergence of the front tracking algorithm. A set of problems, with varying difficulty is given at the end of each chapter to verify and expand understanding of the concepts and techniques previously discussed. For researchers, this book will provide an indispensable reference to the state of the art in the field of hyperbolic systems of conservation laws.

Blowup for Nonlinear Hyperbolic Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 1461225787
Total Pages : 125 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Blowup for Nonlinear Hyperbolic Equations by : Serge Alinhac

Download or read book Blowup for Nonlinear Hyperbolic Equations written by Serge Alinhac and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solutions to partial differential equations or systems often, over specific time periods, exhibit smooth behaviour. Given sufficient time, however, they almost invariably undergo a brutal change in behaviour, and this phenomenon has become known as blowup. In this book, the author provides an overview of what is known about this situation and discusses many of the open problems concerning it.

On the Cauchy Problem

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Publisher : Academic Press
ISBN 13 : 148326906X
Total Pages : 186 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis On the Cauchy Problem by : Sigeru Mizohata

Download or read book On the Cauchy Problem written by Sigeru Mizohata and published by Academic Press. This book was released on 2014-05-10 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: Notes and Reports in Mathematics in Science and Engineering, Volume 3: On the Cauchy Problem focuses on the processes, methodologies, and mathematical approaches to Cauchy problems. The publication first elaborates on evolution equations, Lax-Mizohata theorem, and Cauchy problems in Gevrey class. Discussions focus on fundamental proposition, proof of theorem 4, Gevrey property in t of solutions, basic facts on pseudo-differential, and proof of theorem 3. The book then takes a look at micro-local analysis in Gevrey class, including proof and consequences of theorem 1. The manuscript examines Schrödinger type equations, as well as general view-points on evolution equations. Numerical representations and analyses are provided in the explanation of these type of equations. The book is a valuable reference for mathematicians and researchers interested in the Cauchy problem.

Cauchy Problem for Nonlinear Hyperbolic Systems of Partial Differential Equations

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ISBN 13 :
Total Pages : 37 pages
Book Rating : 4.:/5 (116 download)

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Book Synopsis Cauchy Problem for Nonlinear Hyperbolic Systems of Partial Differential Equations by : Victoria Yasinovskaya

Download or read book Cauchy Problem for Nonlinear Hyperbolic Systems of Partial Differential Equations written by Victoria Yasinovskaya and published by . This book was released on 1984 with total page 37 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Quasilinear Hyperbolic Systems, Compressible Flows, and Waves

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Publisher : CRC Press
ISBN 13 : 1439836914
Total Pages : 284 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Quasilinear Hyperbolic Systems, Compressible Flows, and Waves by : Vishnu D. Sharma

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

Long Time Existence of Solutions to Cauchy and Mixed Problems for Second Order Quasilinear Hyperbolic Equations

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ISBN 13 :
Total Pages : 52 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Long Time Existence of Solutions to Cauchy and Mixed Problems for Second Order Quasilinear Hyperbolic Equations by : Paul Godin

Download or read book Long Time Existence of Solutions to Cauchy and Mixed Problems for Second Order Quasilinear Hyperbolic Equations written by Paul Godin and published by . This book was released on 1989 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Systems of Quasilinear Equations and Their Applications to Gas Dynamics

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821898062
Total Pages : 700 pages
Book Rating : 4.8/5 (98 download)

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Book Synopsis Systems of Quasilinear Equations and Their Applications to Gas Dynamics by : Boris Leonidovich Rozhdestvenski_

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.