Shock Waves, Increase of Entropy and Loss of Information PDF Download

Author: Peter D. Lax
Publisher:
ISBN:
Category : Conservation laws (Physics)
Languages : en
Pages : 0

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Author: PETER D. LAX
Publisher:
ISBN: 9781033202081
Category :
Languages : en
Pages : 0

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Author: Peter D. Lax
Publisher: Palala Press
ISBN: 9781378278208
Category :
Languages : en
Pages : 0

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Book Description
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Author: Peter D. Lax
Publisher: Forgotten Books
ISBN: 9781334018022
Category : Mathematics
Languages : en
Pages : 56

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Book Description
Excerpt from Shock Waves, Increase of Entropy and Loss of Information We are interested in solving the initial value problem: (1 4) nix.0l uolx. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Author: Peter D. Lax
Publisher: SIAM
ISBN: 0898711770
Category : Technology & Engineering
Languages : en
Pages : 55

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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: Heinrich Freistühler
Publisher: Springer Science & Business Media
ISBN: 1461201934
Category : Mathematics
Languages : en
Pages : 527

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Book Description
In the field known as "the mathematical theory of shock waves," very exciting and unexpected developments have occurred in the last few years. Joel Smoller and Blake Temple have established classes of shock wave solutions to the Einstein Euler equations of general relativity; indeed, the mathematical and physical con sequences of these examples constitute a whole new area of research. The stability theory of "viscous" shock waves has received a new, geometric perspective due to the work of Kevin Zumbrun and collaborators, which offers a spectral approach to systems. Due to the intersection of point and essential spectrum, such an ap proach had for a long time seemed out of reach. The stability problem for "in viscid" shock waves has been given a novel, clear and concise treatment by Guy Metivier and coworkers through the use of paradifferential calculus. The L 1 semi group theory for systems of conservation laws, itself still a recent development, has been considerably condensed by the introduction of new distance functionals through Tai-Ping Liu and collaborators; these functionals compare solutions to different data by direct reference to their wave structure. The fundamental prop erties of systems with relaxation have found a systematic description through the papers of Wen-An Yong; for shock waves, this means a first general theorem on the existence of corresponding profiles. The five articles of this book reflect the above developments.

Author: Victor Lenard Shapiro
Publisher: American Mathematical Soc.
ISBN: 0821805657
Category : Mathematics
Languages : en
Pages : 366

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Book Description
There are also several survey articles on recent developments in multiple trigonometric series, dyadic harmonic analysis, special functions, analysis on fractals, and shock waves, as well as papers with new results in nonlinear differential equations. These survey articles, along with several of the research articles, cover a wide variety of applications such as turbulence, general relativity and black holes, neural networks, and diffusion and wave propagation in porous media.

Author: Frederick Bloom
Publisher: CRC Press
ISBN: 1000716716
Category : Mathematics
Languages : en
Pages : 400

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Book Description
A survey of some problems of current interest in the realm of classical nonlinear electromagnetic theory.

Author: Vladas Sidoravicius
Publisher: Springer Science & Business Media
ISBN: 1461200636
Category : Mathematics
Languages : en
Pages : 469

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Book Description
This volume consists of a collection of invited articles, written by some of the most distinguished probabilists, most of whom were personally responsible for advances in the various subfields of probability. Graduate students and researchers in probability theory and math physics will find this book a useful reference.

Author: POLYTECHNIC INST OF BROOKLYN N Y.
Publisher:
ISBN:
Category :
Languages : en
Pages : 1

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A unified mathematical account is given of the available knowledge, together with additional new results, of the entropy distribution through a normal shock wave. The most notable feature of this distribution is the fact that as long as heat conductivity is present the entropy will first increase within the shock until it reaches a maximum value at a certain point inside of the shock, and then diminishes to its final value behind the shock. A physical discussion of the results is given in ddition to a review of the phenomena not usually included in the analysis of shock wave structure. A systematic review of classical shock wave structure according to t e Navier-Stokes equations is included here together with a discussion of the physical validity of these equation . The structure of, and the entropy distribution within weak shock waves in general, and shock waves of arbitrary strength with Prandtl numbers of 0, 3/4 and infinity are analyzed in detail, together with qualitative results for shock waves in general. (Author).