Propagation Of A Curved Shock And Nonlinear Ray Theory
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Propagation Of A Curved Shock And Nonlinear Ray Theory
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Author : Prasad
language : en
Publisher: CRC Press
Release Date : 1993-09-27
Propagation Of A Curved Shock And Nonlinear Ray Theory written by 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 1993-09-27 with Mathematics categories.
Phoolan Prasad's book contains theoretical developments in the study of the propagation of a curved nonlinear wave front and shock front, particularly in the caustic region. It should be an invaluable reference source for researchers in nonlinear waves; fluid dynamics (especially gas dynamics); mathematical physics; aeronautical, chemical and mechanical engineering.
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.
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
Dynamics Of Nonlinear Waves In Dissipative Systems Reduction Bifurcation And Stability
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Author : G Dangelmayr
language : en
Publisher: CRC Press
Release Date : 1996-08-01
Dynamics Of Nonlinear Waves In Dissipative Systems Reduction Bifurcation And Stability written by G Dangelmayr and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-08-01 with Mathematics categories.
The mathematical description of complex spatiotemporal behaviour observed in dissipative continuous systems is a major challenge for modern research in applied mathematics. While the behaviour of low-dimensional systems, governed by the dynamics of a finite number of modes is well understood, systems with large or unbounded spatial domains show intrinsic infinite-dimensional behaviour --not a priori accessible to the methods of finite dimensionaldynamical systems. The purpose of the four contributions in this book is to present some recent and active lines of research in evolution equations posed in large or unbounded domains. One of the most prominent features of these systems is the propagation of various types of patterns in the form of waves, such as travelling and standing waves and pulses and fronts. Different approaches to studying these kinds of phenomena are discussed in the book. A major theme is the reduction of an original evolution equation in the form of a partial differential equation system to a simpler system of equations, either a system of ordinary differential equation or a canonical system of PDEs. The study of the reduced equations provides insight into the bifurcations from simple to more complicated solutions and their stabilities. .
General Theory Of Partial Differential Equations And Microlocal Analysis
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Author : Min-You Qi
language : en
Publisher: CRC Press
Release Date : 1996-05-20
General Theory Of Partial Differential Equations And Microlocal Analysis written by Min-You Qi and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-05-20 with Mathematics categories.
Nonlinear Dynamics And Pattern Formation In The Natural Environment
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Author : A Doelman
language : en
Publisher: Taylor & Francis
Release Date : 2022-09-16
Nonlinear Dynamics And Pattern Formation In The Natural Environment written by A Doelman and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-16 with Mathematics categories.
This Research Note aims to provide an insight into recent developments in the theory of pattern formation. In the last decade there has been considerable progress in this field, both from a theoretical and a practical point of view. Recent mathematical developments concern the study of the nonlinear stability of systems at near-critical conditions by an appropriate system of modulation equations. The complexity of the original problem can be reduced drastically by this approximation. Moreover, it provides unifying point of view for a wide range of problems. New applications of the theory arise in a multitude of scientific areas such as hydrodynamics, reaction-diffusion problems, oceanography, meteorology, combustion, geophysical and biological morphodynamics and semi-conductors.This book is intended to show the interactions between the mathematical theory of nonlinear dynamics and the study of pattern generating phenomena in the natural environment. There is an intimate relationship between new insights in the mathematical aspects of nonlinear pattern formation and the comprehension of such phenomena. Therefore there are two partly overlapping main themes: one in which the emphasis is on generally applicable mathematical theories and techniques and one in which the phenomenology of pattern evolution in various areas is discussed.The book comprises 19 contributions by experts in the field. Although the emphasis changes considerably from paper to paper, in each contribution the same two themes are present; all the authors have aimed to achieve a suitable balance between the mathematical theory and the physical phenomena.
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.
Boundary Field Equation Methods For A Class Of Nonlinear Problems
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Author : Gabriel N Gatica
language : en
Publisher: CRC Press
Release Date : 1995-09-29
Boundary Field Equation Methods For A Class Of Nonlinear Problems written by Gabriel N Gatica and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-09-29 with Mathematics categories.
This book is the first to offer a general discussion on the cupling methods for nonliner problems, and provides all material necessary for an introductory course on the subject. Readers are assumed to have only a basic knowledge of applied functional analysis and partial differential equations at graduate level. This book can be used as an advanced graduate text as well as a reference for specialists working in the areas of partial differential equations, boundary integral equations and scientific computing. This book will be of particular interest to students and researchers in applied mathematics, numerical analysis and partial differential equations.
Nonlinear Variational Problems And Partial Differential Equations
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Author : A Marino
language : en
Publisher: CRC Press
Release Date : 1995-02-27
Nonlinear Variational Problems And Partial Differential Equations written by A Marino and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-02-27 with Mathematics categories.
Contains proceedings of a conference held in Italy in late 1990 dedicated to discussing problems and recent progress in different aspects of nonlinear analysis such as critical point theory, global analysis, nonlinear evolution equations, hyperbolic problems, conservation laws, fluid mechanics, gamma-convergence, homogenization and relaxation methods, Hamilton-Jacobi equations, and nonlinear elliptic and parabolic systems. Also discussed are applications to some questions in differential geometry, and nonlinear partial differential equations.
The Theory Of Quantaloids
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Author : K I Rosenthal
language : en
Publisher: CRC Press
Release Date : 2014-07-22
The Theory Of Quantaloids written by K I Rosenthal and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-22 with Mathematics categories.
This book presents a detailed account of the theory of quantaloids, a natural generalization of quantales. The basic theory, examples and construction are given and particular emphasis is placed on the free quantaloid construction, as well as on the perspective provided by enriched categories.