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Friday, August 7, 2020 | History

10 edition of Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shock Waves (CBMS-NSF Regional Conference Series in Applied Mathematics) found in the catalog.

Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shock Waves (CBMS-NSF Regional Conference Series in Applied Mathematics)

by Peter D. Lax

  • 192 Want to read
  • 22 Currently reading

Published by Society for Industrial Mathematics .
Written in English

    Subjects:
  • Applied mathematics,
  • Mathematics,
  • Science/Mathematics,
  • General,
  • Mathematics / General,
  • Differential Equations

  • The Physical Object
    FormatPaperback
    Number of Pages54
    ID Numbers
    Open LibraryOL8271715M
    ISBN 100898711770
    ISBN 109780898711776

    Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shock Waves Book 11 This book deals with the mathematical side of the theory of shock waves. This note covers the following topics: Hyperbolic conservation laws, stability of hyperbolic waves, heat equation, burgers waves, burgers greens functions, stability of diffusion waves, stability of shock waves, estimates of the greens function, stability of rarefaction waves, stability of rarefaction waves.

    The book describes the qualitative theory of shock waves. It begins with the basics of the theory for scalar conservation law and Lax's solution of the Reimann problem. For hyperbolic conservation laws, the Glimm scheme and wave tracing techniques are presented and used to study the regularity and large-time behavior of solutions.   This is a masterly exposition and an encyclopedic presentation of the theory of hyperbolic conservation laws. It illustrates the essential role of continuum thermodynamics in providing motivation and direction for the development of the mathematical theory while also serving as the principal Pages:

    The mathematical theory of hyperbolic systems of conservation laws and the theory of shock waves presented in these lectures were started by Eberhardt Hopf . This book examines the well-posedness theory for nonlinear hyperbolic systems of conservation laws, recently completed by the author together with his collaborators. It covers the existence, uniqueness, and continuous dependence of classical entropy solutions. It Price: $


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Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shock Waves (CBMS-NSF Regional Conference Series in Applied Mathematics) by Peter D. Lax Download PDF EPUB FB2

Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shock Waves > /ch1 Manage this Chapter. 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 by Olga Oleinik, the author, and many others.

InJames Glimm introduced a number of strikingly new ideas, the possibilities of which are explored. This book, Hyperbolic Systems of Conservation Laws: The Theory of Classical and Nonclassical Shock Waves, can be considered as a concise and comprehensive monograph and at the same time a textbook for graduate students.

The book should be particularly suitable for graduate students, courses for PhD students, and also for researchers working in Cited by: Get this from a library. Hyperbolic systems of conservation laws and the mathematical theory of shock waves. [Peter D Lax; Society for Industrial and Applied Mathematics.] -- 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. 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 by Olga Oleinik, the author, and many others.

InJames Glimm introduced a number of strikingly new ideas, the possibilities of which are Size: 4MB. 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. 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. Get this from a library. Hyperbolic systems of conservation laws and the mathematical theory of shock waves.

[Peter D Lax; Conference Board of the Mathematical Sciences.; National Science Foundation (U.S.); Society for Industrial and Applied Mathematics.] -- This book deals with the mathematical side of the theory of shock waves.

The author presents what is known about the. : Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shock Waves (CBMS-NSF Regional Conference Series in Cited by:   Brief introduction: 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%().

Hyperbolic Systems of Conservation Laws This book is a self-contained exposition of the well-posedness theory for nonlinear hyperbolic systems of conservation laws, The mathematical theory of shock waves originates in Lax s foundational work.

The existence theory goes back. The Final Proceedings for Mathematical Theory of Hyperbolic Systems of Conservation Laws, 24 March - 4 April The first week will focus on recent developments on the theory of one. 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.

Hyperbolic systems of conservation laws and the mathematical theory of shock waves Society for industrial and applied mathematics Philadelphia, PennsylvaniaHyperbolic systems of conservation laws II Comm. Pure Appl. Math.,; The mathematical theory of undercompressive shock waves.

Hyperbolic Systems of Conservation Laws The Theory of Classical and Nonclassical Shock Waves One main objective in this course is to provide a self-contained presentation of the well-posedness theory for nonlinear hyperbolic systems of first-order partial differential equations in divergence form, also called hyperbolic systems of con.

Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shock Waves 作者: Peter D. Lax 出版社: Society for Industrial Mathematics 出版年: 页数: 54 定价: USD 装帧: Paperback ISBN:   D.

Schaeffer and M. Shearer, The classification of 2×2 systems of nonstrictly hyperbolic conservation laws, with application to oil recovery, Comm.

Pure Appl. Math. 40 (), pp. –; Riemann problems for nonstrictly hyperbolic 2 × 2 systems of conservation laws, Trans.

Amer. Math. Soc. (), pp. – MathSciNet zbMATH Cited by: 8. 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. 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 Format: Hardcover. This work is devoted to the theory and approximation of nonlinear hyper bolic systems of conservation laws in one or two space variables. It follows directly a previous publication on hyperbolic systems of conservation laws by the same authors, and we shall make frequent references to Godlewski and Raviart () (hereafter noted G.

R.), though the present 5/5(1). This book examines the well-posedness theory for nonlinear hyperbolic systems of conservation laws, recently completed by the author together with his collaborators.

It covers the existence, uniqueness, and continuous dependence of classical entropy solutions.Conservation laws These notes concern the solution of hyperbolic systems of conservation laws. These are time-dependent systems of partial differential equations (usually nonlinear) with a par-ticularly simple structure.

In one space dimension the equations take the File Size: 2MB.Full text of "Hyperbolic systems of conservation laws in several space variables" See other formats DOE/ER/ 1^ Courant Mathematics and Computing Laboratory U.S. Department of Energy Hyperbolic Systems of Conservation Laws in Several Space Variables p.

D. Lax 1 Research and Development Report Supported by the Applied Mathematical Sciences .