Stochastic Equations Theory And Applications In Acoustics Hydrodynamics Magnetohydrodynamics And Radiophysics Volume 2
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Stochastic Equations Theory And Applications In Acoustics Hydrodynamics Magnetohydrodynamics And Radiophysics Volume 2
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Author : Valery I. Klyatskin
language : en
Publisher: Springer
Release Date : 2014-07-14
Stochastic Equations Theory And Applications In Acoustics Hydrodynamics Magnetohydrodynamics And Radiophysics Volume 2 written by Valery I. Klyatskin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-14 with Technology & Engineering categories.
In some cases, certain coherent structures can exist in stochastic dynamic systems almost in every particular realization of random parameters describing these systems. Dynamic localization in one-dimensional dynamic systems, vortexgenesis (vortex production) in hydrodynamic flows, and phenomenon of clustering of various fields in random media (i.e., appearance of small regions with enhanced content of the field against the nearly vanishing background of this field in the remaining portion of space) are examples of such structure formation. The general methodology presented in Volume 1 is used in Volume 2 Coherent Phenomena in Stochastic Dynamic Systems to expound the theory of these phenomena in some specific fields of stochastic science, among which are hydrodynamics, magnetohydrodynamics, acoustics, optics, and radiophysics. The material of this volume includes particle and field clustering in the cases of scalar (density field) and vector (magnetic field) passive tracers in a random velocity field, dynamic localization of plane waves in layered random media, as well as monochromatic wave propagation and caustic structure formation in random media in terms of the scalar parabolic equation.
Stochastic Equations Theory And Applications In Acoustics Hydrodynamics Magnetohydrodynamics And Radiophysics Volume 1
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Author : Valery I. Klyatskin
language : en
Publisher: Springer
Release Date : 2014-07-14
Stochastic Equations Theory And Applications In Acoustics Hydrodynamics Magnetohydrodynamics And Radiophysics Volume 1 written by Valery I. Klyatskin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-14 with Technology & Engineering categories.
This monograph set presents a consistent and self-contained framework of stochastic dynamic systems with maximal possible completeness. Volume 1 presents the basic concepts, exact results, and asymptotic approximations of the theory of stochastic equations on the basis of the developed functional approach. This approach offers a possibility of both obtaining exact solutions to stochastic problems for a number of models of fluctuating parameters and constructing various asymptotic buildings. Ideas of statistical topography are used to discuss general issues of generating coherent structures from chaos with probability one, i.e., almost in every individual realization of random parameters. The general theory is illustrated with certain problems and applications of stochastic mathematical physics in various fields such as mechanics, hydrodynamics, magnetohydrodynamics, acoustics, optics, and radiophysics.
Stochastic Equations
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Author : Valery I Klyatskin
language : en
Publisher: Springer
Release Date : 2014-08-31
Stochastic Equations written by Valery I Klyatskin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-31 with categories.
Remote Sensing Of Turbulence
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Author : Victor Raizer
language : en
Publisher: CRC Press
Release Date : 2021-10-03
Remote Sensing Of Turbulence written by Victor Raizer and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-03 with Technology & Engineering categories.
This book offers a unique multidisciplinary integration of the physics of turbulence and remote sensing technology. Remote Sensing of Turbulence provides a new vision on the research of turbulence and summarizes the current and future challenges of monitoring turbulence remotely. The book emphasizes sophisticated geophysical applications, detection, and recognition of complex turbulent flows in oceans and the atmosphere. Through several techniques based on microwave and optical/IR observations, the text explores the technological capabilities and tools for the detection of turbulence, their signatures, and variability. FEATURES Covers the fundamental aspects of turbulence problems with a broad geophysical scope for a wide audience of readers Provides a complete description of remote-sensing capabilities for observing turbulence in the earth’s environment Establishes the state-of-the-art remote-sensing techniques and methods of data analysis for turbulence detection Investigates and evaluates turbulence detection signatures, their properties, and variability Provides cutting-edge remote-sensing applications for space-based monitoring and forecasts of turbulence in oceans and the atmosphere This book is a great resource for applied physicists, the professional remote sensing community, ecologists, geophysicists, and earth scientists.
Fundamentals Of Stochastic Nature Sciences
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Author : Valery I. Klyatskin
language : en
Publisher: Springer
Release Date : 2017-04-28
Fundamentals Of Stochastic Nature Sciences written by Valery I. Klyatskin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-28 with Technology & Engineering categories.
This book addresses the processes of stochastic structure formation in two-dimensional geophysical fluid dynamics based on statistical analysis of Gaussian random fields, as well as stochastic structure formation in dynamic systems with parametric excitation of positive random fields f(r,t) described by partial differential equations. Further, the book considers two examples of stochastic structure formation in dynamic systems with parametric excitation in the presence of Gaussian pumping. In dynamic systems with parametric excitation in space and time, this type of structure formation either happens – or doesn’t! However, if it occurs in space, then this almost always happens (exponentially quickly) in individual realizations with a unit probability. In the case considered, clustering of the field f(r,t) of any nature is a general feature of dynamic fields, and one may claim that structure formation is the Law of Nature for arbitrary random fields of such type. The study clarifies the conditions under which such structure formation takes place. To make the content more accessible, these conditions are described at a comparatively elementary mathematical level by employing ideas from statistical topography.
Selected Topics In Plasma Physics
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Author : Sukhmander Singh
language : en
Publisher: BoD – Books on Demand
Release Date : 2020-11-19
Selected Topics In Plasma Physics written by Sukhmander Singh and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-19 with Science categories.
This book is planned to introduce the advances topics of plasma physics for research scholars and postgraduate students. This book deals with basic concepts in plasma physics, non-equilibrium plasma modeling, space plasma applications, and plasma diagnostics. It also provides an overview of the linear and nonlinear aspects of plasma physics. Chapters cover such topics as plasma application in space propulsion, microwave–plasma interaction, plasma antennas, solitary waves, and plasma diagnostic techniques.
Nonlinear Functional Analysis And Applications
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Author : Louis B. Rall
language : en
Publisher:
Release Date : 1971
Nonlinear Functional Analysis And Applications written by Louis B. Rall and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Mathematics categories.
This volume contains the proceedings of an advanced seminar conducted by the Mathematics Research Center at the University of Wisconsin, Madison, held on October 12-14, 1970. This collection of papers is intended to give a reasonably self-contained introduction to the basic concepts and techniques of this field, highlighted by a few significant applications.
Green S Functions And Boundary Value Problems
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Author : Ivar Stakgold
language : en
Publisher: John Wiley & Sons
Release Date : 2011-03-01
Green S Functions And Boundary Value Problems written by Ivar Stakgold and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-01 with Mathematics categories.
Praise for the Second Edition "This book is an excellent introduction to the wide field of boundary value problems."—Journal of Engineering Mathematics "No doubt this textbook will be useful for both students and research workers."—Mathematical Reviews A new edition of the highly-acclaimed guide to boundary value problems, now featuring modern computational methods and approximation theory Green's Functions and Boundary Value Problems, Third Edition continues the tradition of the two prior editions by providing mathematical techniques for the use of differential and integral equations to tackle important problems in applied mathematics, the physical sciences, and engineering. This new edition presents mathematical concepts and quantitative tools that are essential for effective use of modern computational methods that play a key role in the practical solution of boundary value problems. With a careful blend of theory and applications, the authors successfully bridge the gap between real analysis, functional analysis, nonlinear analysis, nonlinear partial differential equations, integral equations, approximation theory, and numerical analysis to provide a comprehensive foundation for understanding and analyzing core mathematical and computational modeling problems. Thoroughly updated and revised to reflect recent developments, the book includes an extensive new chapter on the modern tools of computational mathematics for boundary value problems. The Third Edition features numerous new topics, including: Nonlinear analysis tools for Banach spaces Finite element and related discretizations Best and near-best approximation in Banach spaces Iterative methods for discretized equations Overview of Sobolev and Besov space linear Methods for nonlinear equations Applications to nonlinear elliptic equations In addition, various topics have been substantially expanded, and new material on weak derivatives and Sobolev spaces, the Hahn-Banach theorem, reflexive Banach spaces, the Banach Schauder and Banach-Steinhaus theorems, and the Lax-Milgram theorem has been incorporated into the book. New and revised exercises found throughout allow readers to develop their own problem-solving skills, and the updated bibliographies in each chapter provide an extensive resource for new and emerging research and applications. With its careful balance of mathematics and meaningful applications, Green's Functions and Boundary Value Problems, Third Edition is an excellent book for courses on applied analysis and boundary value problems in partial differential equations at the graduate level. It is also a valuable reference for mathematicians, physicists, engineers, and scientists who use applied mathematics in their everyday work.
Advanced Space Plasma Physics
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Author : Rudolf A. Treumann
language : en
Publisher: World Scientific
Release Date : 1997
Advanced Space Plasma Physics written by Rudolf A. Treumann and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Science categories.
This book builds on the fluid and kinetic theory of equilibria and waves presented in a companion textbook, Basic Space Plasma Physics (by the same authors), but can also serve as a stand-alone text. It extends the field covered there into the domain of plasma instability and nonlinear theory. The book provides a representative selection of the many possible macro- and microinstabilities in a space plasma, from the Rayleigh-Taylor and Kelvin-Helmholtz to electrostatic and electromagnetic kinetic instabilities. Their quasilinear stabilization and nonlinear evolution and their application to space physics problems are treated. The chapters on nonlinear theory include nonlinear waves, weak turbulence and strong turbulence, all presented from the viewpoint of their relevance to space plasma physics. Special topics include auroral particle acceleration, soliton formation and caviton collapse, anomalous transport, and the theory of collisionless shocks.
Quantum Mechanics
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Author : Ajoy Ghatak
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-03-31
Quantum Mechanics written by Ajoy Ghatak 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 2004-03-31 with Science categories.
An understanding of quantum mechanics is vital to all students of physics, chemistry and electrical engineering, but requires a lot of mathematical concepts, the details of which are given with great clarity in this book. Various concepts have been derived from first principles, so it can also be used for self-study. The chapters on the JWKB approximation, time-independent perturbation theory and effects of magnetic field stand out for their clarity and easy-to-understand mathematics. Two complete chapters on the linear harmonic oscillator provide a very detailed discussion of one of the most fundamental problems in quantum mechanics. Operator algebra is used to show the ease with which one can calculate the harmonic oscillator wave functions and study the evolution of the coherent state. Similarly, three chapters on angular momentum give a detailed account of this important problem. Perhaps the most attractive feature of the book is the excellent balance between theory and applications and the large number of applications in such diverse areas as astrophysics, nuclear physics, atomic and molecular spectroscopy, solid-state physics, and quantum well structures.