Nonlinear Hyperbolic Waves In Multi Dimensions
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Nonlinear Hyperbolic Waves In Multidimensions
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Author : Phoolan Prasad
language : en
Publisher: CRC Press
Release Date : 2001-05-18
Nonlinear Hyperbolic Waves In Multidimensions written by Phoolan Prasad and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-05-18 with Mathematics categories.
The propagation of curved, nonlinear wavefronts and shock fronts are very complex phenomena. Since the 1993 publication of his work Propagation of a Curved Shock and Nonlinear Ray Theory, author Phoolan Prasad and his research group have made significant advances in the underlying theory of these phenomena. This volume presents their results and pr
Nonlinear Hyperbolic Waves In Multi Dimensions
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Author : Phoolan Prasad
language : en
Publisher:
Release Date : 1999-05
Nonlinear Hyperbolic Waves In Multi Dimensions written by Phoolan Prasad and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-05 with categories.
The propagation of curved, nonlinear wavefronts and shock fronts is a very complex phenomena. This book provides a self-contained account an d gradual development of mathematical methods for studying successive positions of these fronts. It includes an introduction to shock fronts, derives the ray theory for a nonlinear wavefront, discusses kink phe nomena, develops a new theory for plane and curved shock propagation, and contains Huygens' method of wavefronts construction and an extensi on of Fermat's principle. The book also has approximate equations to d iscuss stability of steady transonic flows. The author includes a num ber of examples of the theory to converging wavefronts in gasdynamics and demonstrates numerical computations. All of the results presented are new and were developed by the author and his research group.
Propagation Of Multidimensional Nonlinear Waves And Kinematical Conservation Laws
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Author : Phoolan Prasad
language : en
Publisher: Springer
Release Date : 2018-03-06
Propagation Of Multidimensional Nonlinear Waves And Kinematical Conservation Laws written by Phoolan Prasad and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-06 with Mathematics categories.
This book formulates the kinematical conservation laws (KCL), analyses them and presents their applications to various problems in physics. Finally, it addresses one of the most challenging problems in fluid dynamics: finding successive positions of a curved shock front. The topics discussed are the outcome of collaborative work that was carried out mainly at the Indian Institute of Science, Bengaluru, India. The theory presented in the book is supported by referring to extensive numerical results. The book is organised into ten chapters. Chapters 1–4 offer a summary of and briefly discuss the theory of hyperbolic partial differential equations and conservation laws. Formulation of equations of a weakly nonlinear wavefront and those of a shock front are briefly explained in Chapter 5, while Chapter 6 addresses KCL theory in space of arbitrary dimensions. The remaining chapters examine various analyses and applications of KCL equations ending in the ultimate goal-propagation of a three-dimensional curved shock front and formation, propagation and interaction of kink lines on it.
Analysis And Numerics For Conservation Laws
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Author : Gerald Warnecke
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-12-05
Analysis And Numerics For Conservation Laws written by Gerald Warnecke and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-12-05 with Mathematics categories.
Whatdoasupernovaexplosioninouterspace,?owaroundanairfoil and knocking in combustion engines have in common? The physical and chemical mechanisms as well as the sizes of these processes are quite di?erent. So are the motivations for studying them scienti?cally. The super- 8 nova is a thermo-nuclear explosion on a scale of 10 cm. Astrophysicists try to understand them in order to get insight into fundamental properties of the universe. In ?ows around airfoils of commercial airliners at the scale of 3 10 cm shock waves occur that in?uence the stability of the wings as well as fuel consumption in ?ight. This requires appropriate design of the shape and structure of airfoils by engineers. Knocking occurs in combustion, a chemical 1 process, and must be avoided since it damages motors. The scale is 10 cm and these processes must be optimized for e?ciency and environmental conside- tions. The common thread is that the underlying ?uid ?ows may at a certain scale of observation be described by basically the same type of hyperbolic s- tems of partial di?erential equations in divergence form, called conservation laws. Astrophysicists, engineers and mathematicians share a common interest in scienti?c progress on theory for these equations and the development of computational methods for solutions of the equations. Due to their wide applicability in modeling of continua, partial di?erential equationsareamajor?eldofresearchinmathematics. Asubstantialportionof mathematical research is related to the analysis and numerical approximation of solutions to such equations. Hyperbolic conservation laws in two or more spacedimensionsstillposeoneofthemainchallengestomodernmathematics.
Iutam Symposium Transsonicum Iv
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Author : H. Sobieczky
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Iutam Symposium Transsonicum Iv written by H. Sobieczky and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.
"Symposium Transsonicum" was founded by Klaus Oswatitsch four decades ago when there was clearly a need for a systematic treatment of flow problems in the higher speed regime in aeronautics. The first conference in 1962 brought together scientists concerned with fundamental problems involving the sonic flow speed regime. Results of the conference provided an understanding of some basic tran sonic phenomena by proposing mathematical methods that allowed for the de velopment of practical calculations. The "Transonic Controversy" (about shock free flows) was still an open issue after this meeting. In 1975 the second symposium was held, by then there was much understanding in how to avoid shocks in a steady plane flow to be designed, but still very little was known in unsteady phenomena due to a lack of elucidating experiments. A third meeting in 1988 reflected the availability oflarger computers which allowed the numerical analysis of flows with shocks to a reasonable accuracy. Because we are trying to keep Oswatitsch's heritage in science alive especially in Gottingen, we were asked by the aerospace research community to organize another symposium. Much had been achieved already in the knowledge, techno logy and applications in transonics, so IUT AM had to be convinced that a fourth meeting would not just be a reunion of old friends reminiscing some scientific past. The scientific committee greatly supported my efforts to invite scientists ac tively working in transonic problems which still pose substantial difficulties to ae rospace and turbomachinery industry.
Wind Over Waves
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Author : S G Sajjadi
language : en
Publisher: Elsevier
Release Date : 2003-07-01
Wind Over Waves written by S G Sajjadi and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-01 with Science categories.
This book addresses ocean wave processes and turbulence as they affect oceanography, meteorology, marine and coastal engineering. It will enable applied mathematicians, seafarers, and all others affected by these phenomena to predict and control wave effects on shipping safety, weather forecasting, offshore structures, sediment pollution, and ice dynamics in polar regions. The focus is on analytical and computational methods for solving equations of motion and studying non-linear aspects of waves and turbulence. Results included show how sudden gusts and winds over waves can modify the mechanisms of wave-breaking and oceanic turbulence.The book records the proceedings of the Wind Over Waves conference of the Institute of Mathematics and its Applications at Churchill College, Cambridge. Co-sponsors with the IMA are the Institute of Civil Engineers and the Royal Meteorological Society. - Addresses ocean wave processes and turbulence as they affect oceanography, meteorology, marine and coastal engineering - Focuses on analytical and computational methods for solving equations of motion and studying non-linear aspects of waves and turbulence - Records the proceedings of the Wind Over Waves conference of the Institute of Mathematics and its Applications at Churchill College, Cambridge
Multi Dimensional Hyperbolic Partial Differential Equations
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Author : Sylvie Benzoni-Gavage
language : en
Publisher: OUP Oxford
Release Date : 2006-11-23
Multi Dimensional Hyperbolic Partial Differential Equations written by Sylvie Benzoni-Gavage and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-23 with Mathematics categories.
Authored by leading scholars, this text presents the state of the art in multi-dimensional hyperbolic PDEs, with an emphasis on problems in which modern tools of analysis are used. Ordered in sections of gradually increasing difficulty and with an extensive bibliography, the text is ideal for graduates and researchers in applied mathematics.
Mathematics In Science And Technology Mathematical Methods Models And Algorithms In Science And Technology Proceedings Of The Satellite Conference Of Icm 2010
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Author : Abul Hasan Siddiqi
language : en
Publisher: World Scientific
Release Date : 2011-06-30
Mathematics In Science And Technology Mathematical Methods Models And Algorithms In Science And Technology Proceedings Of The Satellite Conference Of Icm 2010 written by Abul Hasan Siddiqi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-30 with Mathematics categories.
This unique volume presents reviews of research in several important areas of applications of mathematical concepts to science and technology, for example applications of inverse problems and wavelets to real world systems. The book provides a comprehensive overview of current research of several outstanding scholars engaged in diverse fields such as complexity theory, vertex coupling in quantum graphs, mixing of substances by turbulence, network dynamics and architecture, processes with rate — independent hysteresis, numerical analysis of Hamilton Jacobi — Bellman equations, simulations of complex stochastic differential equations, optimal flow control, shape optimal flow control, shape optimization and aircraft designing, mathematics of brain, nanotechnology and DNA structure and mathematical models of environmental problems. The volume also contains contributory talks based on current researches of comparatively young researchers participating in the conference.
Linear And Nonlinear Waves
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Author : G. B. Whitham
language : en
Publisher: Wiley-Interscience
Release Date : 1999-07
Linear And Nonlinear Waves written by G. B. Whitham and has been published by Wiley-Interscience this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-07 with Mathematics categories.
A Wiley-Interscience Series of Tests, Monographs, and Tracts.
Oscillation Theory Computation And Methods Of Compensated Compactness
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Author : C. Dafermos
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Oscillation Theory Computation And Methods Of Compensated Compactness written by C. Dafermos and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
This IMA Volume in Mathematics and its Applications Oscillation Theory, Computation, and Methods of Compensated Compactness represents the proceedings of a workshop which was an integral part of the 1984-85 IMA program on CONTINUUM PHYSICS AND PARTIAL DIFFERENTIAL EQUATIONS. We are grateful to the Scientific Committee: J.L. Ericksen D. Kinderlehrer H. Brezis C. Dafermos for their dedication and hard work in developing an imaginative, stimulating, and productive year-long program. George R. Sell Hans Weinberger PREFACE Historically, one of the most important prohlems in continuum mechanics has been the treatment of nonlinear hyperbolic systems of conservation laws. Thp. importance of these systems lies in the fact that the underlyinq equ~tions of mass, momentum, and energy are descrihed by conservation laws. Their nonlinearity and hyperbolicity are consequences of some cornmon constitutive relations, for example, in an ideal gas. The I.M.A. Workshop on "Osci 11 at i on theory. computat i on, and methods of com pensated compactness" brought together scientists from both the analytical and numerical sides of conservation law research. The goal was to examine recent trends in the investigation of systems of conservation laws and in particular to focus on the roles of dispersive and diffusive limits for singularily perturbed conservation laws. Special attention was devoted to the new ideas of compen sated compactness and oscillation theory.