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 1

Author : Valery I. Klyatskin
Publisher : Springer
ISBN 13 : 331907587X
Total Pages : 423 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Stochastic Equations: Theory and Applications in Acoustics, Hydrodynamics, Magnetohydrodynamics, and Radiophysics, Volume 1 by : Valery I. Klyatskin

Download or read book Stochastic Equations: Theory and Applications in Acoustics, Hydrodynamics, Magnetohydrodynamics, and Radiophysics, Volume 1 written by Valery I. Klyatskin and published by Springer. This book was released on 2014-07-14 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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: Theory and Applications in Acoustics, Hydrodynamics, Magnetohydrodynamics, and Radiophysics, Volume 2

Author : Valery I. Klyatskin
Publisher : Springer
ISBN 13 : 331907590X
Total Pages : 489 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Stochastic Equations: Theory and Applications in Acoustics, Hydrodynamics, Magnetohydrodynamics, and Radiophysics, Volume 2 by : Valery I. Klyatskin

Download or read book Stochastic Equations: Theory and Applications in Acoustics, Hydrodynamics, Magnetohydrodynamics, and Radiophysics, Volume 2 written by Valery I. Klyatskin and published by Springer. This book was released on 2014-07-14 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Remote Sensing of Turbulence

Author : Victor Raizer
Publisher : CRC Press
ISBN 13 : 100045875X
Total Pages : 273 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Remote Sensing of Turbulence by : Victor Raizer

Download or read book Remote Sensing of Turbulence written by Victor Raizer and published by CRC Press. This book was released on 2021-10-03 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Valery I. Klyatskin
Publisher : Springer
ISBN 13 : 3319569228
Total Pages : 190 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Fundamentals of Stochastic Nature Sciences by : Valery I. Klyatskin

Download or read book Fundamentals of Stochastic Nature Sciences written by Valery I. Klyatskin and published by Springer. This book was released on 2017-04-28 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Spatiotemporal Random Fields

Author : George Christakos
Publisher : Elsevier
ISBN 13 : 0128030321
Total Pages : 696 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Spatiotemporal Random Fields by : George Christakos

Download or read book Spatiotemporal Random Fields written by George Christakos and published by Elsevier. This book was released on 2017-07-26 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spatiotemporal Random Fields: Theory and Applications, Second Edition, provides readers with a new and updated edition of the text that explores the application of spatiotemporal random field models to problems in ocean, earth, and atmospheric sciences, spatiotemporal statistics, and geostatistics, among others. The new edition features considerable detail of spatiotemporal random field theory, including ordinary and generalized models, as well as space-time homostationary, isostationary and hetrogeneous approaches. Presenting new theoretical and applied results, with particular emphasis on space-time determination and interpretation, spatiotemporal analysis and modeling, random field geometry, random functionals, probability law, and covariance construction techniques, this book highlights the key role of space-time metrics, the physical interpretation of stochastic differential equations, higher-order space-time variability functions, the validity of major theoretical assumptions in real-world practice (covariance positive-definiteness, metric-adequacy etc.), and the emergence of interdisciplinary phenomena in conditions of multi-sourced real-world uncertainty. Contains applications in the form of examples and case studies, providing readers with first-hand experiences Presents an easy to follow narrative which progresses from simple concepts to more challenging ideas Includes significant updates from the previous edition, including a focus on new theoretical and applied results

Principles of Statistical Radiophysics 3

Author : Sergei M. Rytov
Publisher : Springer
ISBN 13 : 9783540178293
Total Pages : 239 pages
Book Rating : 4.1/5 (782 download)

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Book Synopsis Principles of Statistical Radiophysics 3 by : Sergei M. Rytov

Download or read book Principles of Statistical Radiophysics 3 written by Sergei M. Rytov and published by Springer. This book was released on 1989-07-14 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: Principles of Statistical Radiophysics is a four-volume series that introduces the newcomer to the theory of random functions. It aims at providing the background necessary to understand papers and monographs on the subject and to carry out independent research in the fields where fluctuations are of importance, e.g. radiophysics, optics, astronomy, and acoustics. Volume 3, Elements of Random Fields, gives the basic mathematical definitions, general properties and specific forms of random fields, the generalization from correlation theory to random fields. It deals with stochastic partial differential equations, wave scattering at a chaotic screen, single scattering in random media and thermal fluctuations and radiation of electromagnetic fields.

Principles of Statistical Radiophysics 4

Author : Sergei M. Rytov
Publisher : Springer
ISBN 13 : 9783540178286
Total Pages : 188 pages
Book Rating : 4.1/5 (782 download)

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Book Synopsis Principles of Statistical Radiophysics 4 by : Sergei M. Rytov

Download or read book Principles of Statistical Radiophysics 4 written by Sergei M. Rytov and published by Springer. This book was released on 1989-08-10 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: Principles of Statistical Radiophysics is concerned with the theory of random func tions (processes and fields) treated in close association with a number of applications in physics. Primarily, the book deals with radiophysics in its broadest sense, i.e., l viewed as a general theory of oscillations and waves of any physical nature • This translation is based on the second (two-volume) Russian edition. It appears in four volumes: 1. Elements of Random Process Theory 2. Correlation Theory of Random Processes 3. Elements of Random Fields 4. Wave Propagation Through Random Media. The four volumes are, naturally, to a large extent conceptually interconnected (being linked, for instance, by cross-references); yet for the advanced reader each of them might be of interest on its own. This motivated the division of the Principles into four separate volumes. The text is designed for graduate and postgraduate students majoring in radio physics, radio engineering, or other branches of physics and technology dealing with oscillations and waves (e.g., acoustics and optics). As a rule, early in their career these students face problems involving the use of random functions. The book pro vides a sound basis from which to understand and solve problems at this level. In addition, it paves the way for a more profound study of the mathematical theory, should it be necessary2. The reader is assumed to be familiar with probability theory.

Stochastic Models, Information Theory, and Lie Groups, Volume 2

Author : Gregory S. Chirikjian
Publisher : Springer Science & Business Media
ISBN 13 : 0817649433
Total Pages : 460 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Stochastic Models, Information Theory, and Lie Groups, Volume 2 by : Gregory S. Chirikjian

Download or read book Stochastic Models, Information Theory, and Lie Groups, Volume 2 written by Gregory S. Chirikjian and published by Springer Science & Business Media. This book was released on 2011-11-15 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique two-volume set presents the subjects of stochastic processes, information theory, and Lie groups in a unified setting, thereby building bridges between fields that are rarely studied by the same people. Unlike the many excellent formal treatments available for each of these subjects individually, the emphasis in both of these volumes is on the use of stochastic, geometric, and group-theoretic concepts in the modeling of physical phenomena. Stochastic Models, Information Theory, and Lie Groups will be of interest to advanced undergraduate and graduate students, researchers, and practitioners working in applied mathematics, the physical sciences, and engineering. Extensive exercises, motivating examples, and real-world applications make the work suitable as a textbook for use in courses that emphasize applied stochastic processes or differential geometry.

Principles of Statistical Radiophysics 4

Author : Sergei M. Rytov
Publisher : Springer
ISBN 13 : 9783642726828
Total Pages : 0 pages
Book Rating : 4.7/5 (268 download)

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Book Synopsis Principles of Statistical Radiophysics 4 by : Sergei M. Rytov

Download or read book Principles of Statistical Radiophysics 4 written by Sergei M. Rytov and published by Springer. This book was released on 1989 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Principles of Statistical Radiophysics is concerned with the theory of random func tions (processes and fields) treated in close association with a number of applications in physics. Primarily, the book deals with radiophysics in its broadest sense, i.e., l viewed as a general theory of oscillations and waves of any physical nature • This translation is based on the second (two-volume) Russian edition. It appears in four volumes: 1. Elements of Random Process Theory 2. Correlation Theory of Random Processes 3. Elements of Random Fields 4. Wave Propagation Through Random Media. The four volumes are, naturally, to a large extent conceptually interconnected (being linked, for instance, by cross-references); yet for the advanced reader each of them might be of interest on its own. This motivated the division of the Principles into four separate volumes. The text is designed for graduate and postgraduate students majoring in radio physics, radio engineering, or other branches of physics and technology dealing with oscillations and waves (e.g., acoustics and optics). As a rule, early in their career these students face problems involving the use of random functions. The book pro vides a sound basis from which to understand and solve problems at this level. In addition, it paves the way for a more profound study of the mathematical theory, should it be necessary2. The reader is assumed to be familiar with probability theory.

Fluvial Hydrodynamics

Author : Subhasish Dey
Publisher : Springer
ISBN 13 : 3642190626
Total Pages : 706 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Fluvial Hydrodynamics by : Subhasish Dey

Download or read book Fluvial Hydrodynamics written by Subhasish Dey and published by Springer. This book was released on 2014-08-22 with total page 706 pages. Available in PDF, EPUB and Kindle. Book excerpt: The state-of-the-art in fluvial hydrodynamics can be examined only through a careful exploration of the theoretical development and applied engineering technology. The book is primarily focused, since most up-to-date research findings in the field are presented, on the research aspects that involve a comprehensive knowledge of sediment dynamics in turbulent flows. It begins with the fundamentals of hydrodynamics and particle motion followed by turbulence characteristics related to sediment motion. Then, the sediment dynamics is analysed from a classical perspective by applying the mean bed shear approach and additionally incorporating a statistical description for the role of turbulence. The work finally examines the local scour problems at hydraulic structures and scale models. It is intended to design as a course textbook in graduate / research level and a guide for the field engineers as well, keeping up with modern technological developments. Therefore, as a simple prerequisite, the background of the readers should have a basic knowledge in hydraulics in undergraduate level and an understanding of fundamentals of calculus.

Magnetohydrodynamic Stability of Tokamaks

Author : Hartmut Zohm
Publisher : John Wiley & Sons
ISBN 13 : 3527412328
Total Pages : 254 pages
Book Rating : 4.5/5 (274 download)

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Book Synopsis Magnetohydrodynamic Stability of Tokamaks by : Hartmut Zohm

Download or read book Magnetohydrodynamic Stability of Tokamaks written by Hartmut Zohm and published by John Wiley & Sons. This book was released on 2015-02-09 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book bridges the gap between general plasma physics lectures and the real world problems in MHD stability. In order to support the understanding of concepts and their implication, it refers to real world problems such as toroidal mode coupling or nonlinear evolution in a conceptual and phenomenological approach. Detailed mathematical treatment will involve classical linear stability analysis and an outline of more recent concepts such as the ballooning formalism. The book is based on lectures that the author has given to Master and PhD students in Fusion Plasma Physics. Due its strong link to experimental results in MHD instabilities, the book is also of use to senior researchers in the field, i.e. experimental physicists and engineers in fusion reactor science. The volume is organized in three parts. It starts with an introduction to the MHD equations, a section on toroidal equilibrium (tokamak and stellarator), and on linear stability analysis. Starting from there, the ideal MHD stability of the tokamak configuration will be treated in the second part which is subdivided into current driven and pressure driven MHD. This includes many examples with reference to experimental results for important MHD instabilities such as kinks and their transformation to RWMs, infernal modes, peeling modes, ballooning modes and their relation to ELMs. Finally the coverage is completed by a chapter on resistive stability explaining reconnection and island formation. Again, examples from recent tokamak MHD such as sawteeth, CTMs, NTMs and their relation to disruptions are extensively discussed.

Sound-Flow Interactions

Author : Y. Auregan
Publisher : Springer
ISBN 13 : 3540458808
Total Pages : 302 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Sound-Flow Interactions by : Y. Auregan

Download or read book Sound-Flow Interactions written by Y. Auregan and published by Springer. This book was released on 2007-06-18 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: The coupling between acoustic waves and fluid flow motion is basically nonlinear, with the result that flow and sound modify themselves reciprocally with respect to generation and propagation properties. As a result this problem is investigated by many different communities, such as applied mathematics, acoustics and fluid mechanics. This book is the result of an international school which was held to discuss the foundation of sound--flow interactions, to share expertise and methodologies, and to promote cross-fertilization between the different disciplines involved. It consists essentially of a set of pedagogical lectures and is meant to serve not only as a compact source of reference for the experienced researcher but also as an advanced textbook for postgraduate students, and nonspecialists wishing to familiarize themselves in depth, at a research level, with this fascinating subject.

Number Theory

Author : Henri Cohen
Publisher : Springer Science & Business Media
ISBN 13 : 0387499229
Total Pages : 673 pages
Book Rating : 4.3/5 (874 download)

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Book Synopsis Number Theory by : Henri Cohen

Download or read book Number Theory written by Henri Cohen and published by Springer Science & Business Media. This book was released on 2007-05-23 with total page 673 pages. Available in PDF, EPUB and Kindle. Book excerpt: The central theme of this book is the solution of Diophantine equations, i.e., equations or systems of polynomial equations which must be solved in integers, rational numbers or more generally in algebraic numbers. This theme, in particular, is the central motivation for the modern theory of arithmetic algebraic geometry. In this text, this is considered through three of its most basic aspects. The book contains more than 350 exercises and the text is largely self-contained. Much more sophisticated techniques have been brought to bear on the subject of Diophantine equations, and for this reason, the author has included five appendices on these techniques.

Stochastic Models, Information Theory, and Lie Groups, Volume 1

Author : Gregory S. Chirikjian
Publisher : Springer Science & Business Media
ISBN 13 : 0817648038
Total Pages : 397 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Stochastic Models, Information Theory, and Lie Groups, Volume 1 by : Gregory S. Chirikjian

Download or read book Stochastic Models, Information Theory, and Lie Groups, Volume 1 written by Gregory S. Chirikjian and published by Springer Science & Business Media. This book was released on 2009-09-02 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique two-volume set presents the subjects of stochastic processes, information theory, and Lie groups in a unified setting, thereby building bridges between fields that are rarely studied by the same people. Unlike the many excellent formal treatments available for each of these subjects individually, the emphasis in both of these volumes is on the use of stochastic, geometric, and group-theoretic concepts in the modeling of physical phenomena. Stochastic Models, Information Theory, and Lie Groups will be of interest to advanced undergraduate and graduate students, researchers, and practitioners working in applied mathematics, the physical sciences, and engineering. Extensive exercises and motivating examples make the work suitable as a textbook for use in courses that emphasize applied stochastic processes or differential geometry.

A Textbook of Magnetohydrodynamics

Author : John Arthur Shercliff
Publisher :
ISBN 13 :
Total Pages : 294 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis A Textbook of Magnetohydrodynamics by : John Arthur Shercliff

Download or read book A Textbook of Magnetohydrodynamics written by John Arthur Shercliff and published by . This book was released on 1965 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Surveys in Applied Mathematics

Author : Mark I. Freidlin
Publisher : Springer
ISBN 13 : 9781461358213
Total Pages : 0 pages
Book Rating : 4.3/5 (582 download)

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Book Synopsis Surveys in Applied Mathematics by : Mark I. Freidlin

Download or read book Surveys in Applied Mathematics written by Mark I. Freidlin and published by Springer. This book was released on 2012-10-24 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume 2 offers three in-depth articles covering significant areas in applied mathematics research. Chapters feature numerous illustrations, extensive background material and technical details, and abundant examples. The authors analyze nonlinear front propagation for a large class of semilinear partial differential equations using probabilistic methods; examine wave localization phenomena in one-dimensional random media; and offer an extensive introduction to certain model equations for nonlinear wave phenomena.

Interpolation and Extrapolation Optimal Designs V1

Author : Giorgio Celant
Publisher : John Wiley & Sons
ISBN 13 : 111929228X
Total Pages : 254 pages
Book Rating : 4.1/5 (192 download)

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Book Synopsis Interpolation and Extrapolation Optimal Designs V1 by : Giorgio Celant

Download or read book Interpolation and Extrapolation Optimal Designs V1 written by Giorgio Celant and published by John Wiley & Sons. This book was released on 2016-03-31 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first of a series which focuses on the interpolation and extrapolation of optimal designs, an area with significant applications in engineering, physics, chemistry and most experimental fields. In this volume, the authors emphasize the importance of problems associated with the construction of design. After a brief introduction on how the theory of optimal designs meets the theory of the uniform approximation of functions, the authors introduce the basic elements to design planning and link the statistical theory of optimal design and the theory of the uniform approximation of functions. The appendices provide the reader with material to accompany the proofs discussed throughout the book.