Shock Waves and Reaction—Diffusion Equations

Shock Waves and Reaction—Diffusion Equations

Author: Joel Smoller

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 650

ISBN-13: 1461208734

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For this edition, a number of typographical errors and minor slip-ups have been corrected. In addition, following the persistent encouragement of Olga Oleinik, I have added a new chapter, Chapter 25, which I titled "Recent Results." This chapter is divided into four sections, and in these I have discussed what I consider to be some of the important developments which have come about since the writing of the first edition. Section I deals with reaction-diffusion equations, and in it are described both the work of C. Jones, on the stability of the travelling wave for the Fitz-Hugh-Nagumo equations, and symmetry-breaking bifurcations. Section II deals with some recent results in shock-wave theory. The main topics considered are L. Tartar's notion of compensated compactness, together with its application to pairs of conservation laws, and T.-P. Liu's work on the stability of viscous profiles for shock waves. In the next section, Conley's connection index and connection matrix are described; these general notions are useful in con structing travelling waves for systems of nonlinear equations. The final sec tion, Section IV, is devoted to the very recent results of C. Jones and R. Gardner, whereby they construct a general theory enabling them to locate the point spectrum of a wide class of linear operators which arise in stability problems for travelling waves. Their theory is general enough to be applica ble to many interesting reaction-diffusion systems.


30th International Symposium on Shock Waves 1

30th International Symposium on Shock Waves 1

Author: Gabi Ben-Dor

Publisher: Springer

Published: 2017-08-09

Total Pages: 746

ISBN-13: 331946213X

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These proceedings collect the papers presented at the 30th International Symposium on Shock Waves (ISSW30), which was held in Tel-Aviv Israel from July 19 to July 24, 2015. The Symposium was organized by Ortra Ltd. The ISSW30 focused on the state of knowledge of the following areas: Nozzle Flow, Supersonic and Hypersonic Flows with Shocks, Supersonic Jets, Chemical Kinetics, Chemical Reacting Flows, Detonation, Combustion, Ignition, Shock Wave Reflection and Interaction, Shock Wave Interaction with Obstacles, Shock Wave Interaction with Porous Media, Shock Wave Interaction with Granular Media, Shock Wave Interaction with Dusty Media, Plasma, Magnetohyrdrodynamics, Re-entry to Earth Atmosphere, Shock Waves in Rarefied Gases, Shock Waves in Condensed Matter (Solids and Liquids), Shock Waves in Dense Gases, Shock Wave Focusing, Richtmyer-Meshkov Instability, Shock Boundary Layer Interaction, Multiphase Flow, Blast Waves, Facilities, Flow Visualization, and Numerical Methods. The two volumes serve as a reference for the participants of the ISSW30 and anyone interested in these fields.


Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena

Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena

Author: Ya. B. Zel’dovich

Publisher: Courier Corporation

Published: 2012-08-29

Total Pages: 946

ISBN-13: 048613508X

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Physical, chemical processes in gases at high temperatures are focus of outstanding text, which combines material from gas dynamics, shock-wave theory, thermodynamics and statistical physics, other fields. 284 illustrations. 1966–1967 edition.


28th International Symposium on Shock Waves

28th International Symposium on Shock Waves

Author: Konstantinos Kontis

Publisher: Springer Science & Business Media

Published: 2012-03-14

Total Pages: 860

ISBN-13: 3642256880

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The University of Manchester hosted the 28th International Symposium on Shock Waves between 17 and 22 July 2011. The International Symposium on Shock Waves first took place in 1957 in Boston and has since become an internationally acclaimed series of meetings for the wider Shock Wave Community. The ISSW28 focused on the following areas: Blast Waves, Chemically Reacting Flows, Dense Gases and Rarefied Flows, Detonation and Combustion, Diagnostics, Facilities, Flow Visualisation, Hypersonic Flow, Ignition, Impact and Compaction, Multiphase Flow, Nozzle Flow, Numerical Methods, Propulsion, Richtmyer-Meshkov, Shockwave Boundary Layer Interaction, Shock Propagation and Reflection, Shock Vortex Interaction, Shockwave Phenomena and Applications, as well as Medical and Biological Applications. The two Volumes contain the papers presented at the symposium and serve as a reference for the participants of the ISSW 28 and individuals interested in these fields.


Physics of Shock Waves and High–Temperature Hydrodynamic Phenomena

Physics of Shock Waves and High–Temperature Hydrodynamic Phenomena

Author: Wallace Hayes

Publisher: Elsevier

Published: 2012-12-02

Total Pages: 479

ISBN-13: 0323147852

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Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena, Volume II presents interpretations of the physical basis of shockwaves and high-temperature hydrodynamic phenomena and gives practical guidance to those who work with these subjects in science and modern technology. This volume contains chapters discussing such topics as the shockwave structure in gases; physical and chemical kinetics in hydrodynamic processes; the radiative phenomena in shock waves and in strong explosions in the air; thermal waves and shockwaves in solids; and self-similar processes in gasdynamics. Physicists, engineers, researchers, and professors and students in the field of the physical sciences will find the book very educational.


Fundamentals of Shock Wave Propagation in Solids

Fundamentals of Shock Wave Propagation in Solids

Author: Lee Davison

Publisher: Springer Science & Business Media

Published: 2008-04-24

Total Pages: 439

ISBN-13: 3540745696

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My intent in writing this book is to present an introduction to the thermo- chanical theory required to conduct research and pursue applications of shock physics in solid materials. Emphasis is on the range of moderate compression that can be produced by high-velocity impact or detonation of chemical exp- sives and in which elastoplastic responses are observed and simple equations of state are applicable. In the interest of simplicity, the presentation is restricted to plane waves producing uniaxial deformation. Although applications often - volve complex multidimensional deformation fields it is necessary to begin with the simpler case. This is also the most important case because it is the usual setting of experimental research. The presentation is also restricted to theories of material response that are simple enough to permit illustrative problems to be solved with minimal recourse to numerical analysis. The discussions are set in the context of established continuum-mechanical principles. I have endeavored to define the quantities encountered with some care and to provide equations in several convenient forms and in a way that lends itself to easy reference. Thermodynamic analysis plays an important role in continuum mechanics, and I have included a presentation of aspects of this subject that are particularly relevant to shock physics. The notation adopted is that conventional in expositions of modern continuum mechanics, insofar as possible, and variables are explained as they are encountered. Those experienced in shock physics may find some of the notation unconventional.


Fundamentals of Gas Dynamics

Fundamentals of Gas Dynamics

Author: Howard W. Emmons

Publisher: Princeton University Press

Published: 2015-12-08

Total Pages: 784

ISBN-13: 1400877539

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Volume II of the High Speed Aerodynamics and Jet Propulsion series. The series which stress the more fundamental aspects of the various phenomena that make up the broad field of aeronautical science. The aerodynamicist and gas dynamicist will find both the classical and the important new concepts of gas dynamics presented in an informative and stimulating manner. Specialists in the study of gas dynamics have contributed Sections as follows: H. S. Tsien, The Equations of Gas Dynamics; L. Crocco, One-Dimensional Treatment of Steady Gas Dynamics; A. Kantrowitz, One-Dimensional Treatment of Nonsteady Gas Dynamics; W. Hayes, The Basic Theory of Gasdynamic Discontinuities; H. Polachek and R. J. Seeger, Shock Wave Interactions; H. G. Stever, Condensation Phenomena in High Speed Flows; T. H. Von Karman, H. W. Emmons, G. I. Taylor, and R. S. Tankin, Gas Dynamics of Combustion and Detonation; S. Schaaf and P. Chambre, Flow of Rarefied Gases. Originally published in 1958. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.