Nonlinear Waves In Inhomogeneous And Hereditary Media


Nonlinear Waves In Inhomogeneous And Hereditary Media
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Nonlinear Waves In Inhomogeneous And Hereditary Media


Nonlinear Waves In Inhomogeneous And Hereditary Media
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Author : Aleksandr Aleksandrovich Lokshin
language : en
Publisher: Springer
Release Date : 1992

Nonlinear Waves In Inhomogeneous And Hereditary Media written by Aleksandr Aleksandrovich Lokshin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Science categories.




Nonlinear Waves In Inhomogeneous And Hereditary Media


Nonlinear Waves In Inhomogeneous And Hereditary Media
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Author : Alexandr A. Lokshin
language : en
Publisher: Springer
Release Date : 1992

Nonlinear Waves In Inhomogeneous And Hereditary Media written by Alexandr A. Lokshin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Science categories.


This booklet presents a study of one-dimensional waves in solids which can be modelled by nonlinear wave equations of different types. The factorization method is the main tool in this analysis. It allows for an exact or at least asymp totic decomposition of the wave(s) under consideration in terms of first order multipliers. Chapter 1 provides a general introduction. It presents some well-known results on characteristics, Riemann invariants, simple waves, etc. The main result of Chap. 1 is Theorem 1.3.2. (Sect. 1.3.2) which establishes the possibility of exact factorization of the nonlinear wave equation EPa(a) 1 EPa _ 0 Ij(l-u- x2 with constant coefficients. This theorem permits one to construct further factor izations of more complicated wave equations which the reader will meet in the following chapters. Chapter 2 is devoted to short wave processes in inhomogeneous media, the main result being the uniform asymptotic factorization of nonlinear wave equa tions with variable coefficients and the description of corresponding single-wave processes without the usual assumption of a small wave amplitude.



Tauberian Theory Of Wave Fronts In Linear Hereditary Elasticity


Tauberian Theory Of Wave Fronts In Linear Hereditary Elasticity
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Author : Alexander A. Lokshin
language : en
Publisher: Springer Nature
Release Date : 2020-10-21

Tauberian Theory Of Wave Fronts In Linear Hereditary Elasticity written by Alexander A. Lokshin and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-21 with Science categories.


The objective of this book is to construct a rigorous mathematical approach to linear hereditary problems of wave propagation theory and demonstrate the efficiency of mathematical theorems in hereditary mechanics. By using both real end complex Tauberian techniques for the Laplace transform, a classification of near-front asymptotics of solutions to considered equations is given—depending on the singularity character of the memory function. The book goes on to derive the description of the behavior of these solutions and demonstrates the importance of nonlinear Laplace transform in linear hereditary elasticity. This book is of undeniable value to researchers working in areas of mathematical physics and related fields.



Proceedings Of The Estonian Academy Of Sciences Engineering


Proceedings Of The Estonian Academy Of Sciences Engineering
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Author :
language : en
Publisher:
Release Date : 2000-09

Proceedings Of The Estonian Academy Of Sciences Engineering written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-09 with categories.




Applied Mechanics Reviews


Applied Mechanics Reviews
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Author :
language : en
Publisher:
Release Date : 1974

Applied Mechanics Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Mechanics, Applied categories.




High Tc Superconductivity


High Tc Superconductivity
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Author : Aleksandr S. Davydov
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

High Tc Superconductivity written by Aleksandr S. Davydov 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.


"High-Tc Superconductivity" is based on a meeting held in Kiev and contains contributions discussing the most recent achievements in this field. The book includes reviews and original papers covering theoretical and experimental aspects of the subject. Keywords: electronic and magnetic properties, metallization processes, emission and optic spectra, lavitation, pinning, frustration and fluctuations, thin films



Nuclear Data For Science And Technology


Nuclear Data For Science And Technology
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Author : Syed M. Qaim
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Nuclear Data For Science And Technology written by Syed M. Qaim 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 book describes the Proceedings of the International Conference on Nuclear Data for Science and Technology held at Jillich in May 1991. The conference was in a series of application oriented nuclear data conferences organized in the past under the auspices of the Nuclear Energy Agency-Nuclear Data Committee (NEANDC) and with the support of the Nuclear Energy Agency-Committee on Reactor Physics (NEACRP). It was the fIrst international conference on nuclear data held in Germany, with the scientific responsibility entrusted to the Institute of Nuclear Chemistry of the Research Centre Jillich. The scientific programme was established by the International Programme Committee in consultation with the International Advisers, and the NEA and IAEA cooperated in the organization. A total of 328 persons from 37 countries and fIve international organizations participated. The scope of these Proceedings extends to a wide range of interdisciplinary topics dealing with measu rement, calculation, evaluation and application of nuclear data, with a major emphasis on numerical data. Both energy and non-energy related applications are considered and due attention is given to some fundamental aspects relevant to the understanding of nuclear data.



Nonlinear Wave Dynamics


Nonlinear Wave Dynamics
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Author : J. Engelbrecht
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

Nonlinear Wave Dynamics written by J. Engelbrecht 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 2013-04-17 with Technology & Engineering categories.


At the end of the twentieth century, nonlinear dynamics turned out to be one of the most challenging and stimulating ideas. Notions like bifurcations, attractors, chaos, fractals, etc. have proved to be useful in explaining the world around us, be it natural or artificial. However, much of our everyday understanding is still based on linearity, i. e. on the additivity and the proportionality. The larger the excitation, the larger the response-this seems to be carved in a stone tablet. The real world is not always reacting this way and the additivity is simply lost. The most convenient way to describe such a phenomenon is to use a mathematical term-nonlinearity. The importance of this notion, i. e. the importance of being nonlinear is nowadays more and more accepted not only by the scientific community but also globally. The recent success of nonlinear dynamics is heavily biased towards temporal characterization widely using nonlinear ordinary differential equations. Nonlinear spatio-temporal processes, i. e. nonlinear waves are seemingly much more complicated because they are described by nonlinear partial differential equations. The richness of the world may lead in this case to coherent structures like solitons, kinks, breathers, etc. which have been studied in detail. Their chaotic counterparts, however, are not so explicitly analysed yet. The wavebearing physical systems cover a wide range of phenomena involving physics, solid mechanics, hydrodynamics, biological structures, chemistry, etc.



Proceedings Of The Estonian Academy Of Sciences Engineering


Proceedings Of The Estonian Academy Of Sciences Engineering
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FREE 30 Days

Author :
language : en
Publisher:
Release Date : 2000-09

Proceedings Of The Estonian Academy Of Sciences Engineering written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-09 with categories.




Proceedings Of The Estonian Academy Of Sciences Engineering


Proceedings Of The Estonian Academy Of Sciences Engineering
DOWNLOAD
FREE 30 Days

Author :
language : en
Publisher:
Release Date : 2000-09

Proceedings Of The Estonian Academy Of Sciences Engineering written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-09 with categories.