Nonlinear Nonlocal And Fractional Turbulence

Author : Peter William Egolf,Kolumban Hutter
Publisher : Springer Nature
Page : 487 pages
File Size : 50,5 Mb
Release : 2020-04-02
Category : Science
ISBN : 9783030260330

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Nonlinear, Nonlocal and Fractional Turbulence by Peter William Egolf,Kolumban Hutter Pdf

Experts of fluid dynamics agree that turbulence is nonlinear and nonlocal. Because of a direct correspondence, nonlocality also implies fractionality. Fractional dynamics is the physics related to fractal (geometrical) systems and is described by fractional calculus. Up-to-present, numerous criticisms of linear and local theories of turbulence have been published. Nonlinearity has established itself quite well, but so far only a very small number of general nonlocal concepts and no concrete nonlocal turbulent flow solutions were available. This book presents the first analytical and numerical solutions of elementary turbulent flow problems, mainly based on a nonlocal closure. Considerations involve anomalous diffusion (Lévy flights), fractal geometry (fractal-β, bi-fractal and multi-fractal model) and fractional dynamics. Examples include a new ‘law of the wall’ and a generalization of Kraichnan’s energy-enstrophy spectrum that is in harmony with non-extensive and non-equilibrium thermodynamics (Tsallis thermodynamics) and experiments. Furthermore, the presented theories of turbulence reveal critical and cooperative phenomena in analogy with phase transitions in other physical systems, e.g., binary fluids, para-ferromagnetic materials, etc.; the two phases of turbulence identifying the laminar streaks and coherent vorticity-rich structures. This book is intended, apart from fluids specialists, for researchers in physics, as well as applied and numerical mathematics, who would like to acquire knowledge about alternative approaches involved in the analytical and numerical treatment of turbulence.

Author : Ashton L. Hawk,Marcus M. Larsen,Michael J. Leiblein,Jeffrey J. Reuer
Publisher : Edward Elgar Publishing
Page : 315 pages
File Size : 52,9 Mb
Release : 2024-01-18
Category : Business & Economics
ISBN : 9781802201482

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Strategy in a Turbulent Era by Ashton L. Hawk,Marcus M. Larsen,Michael J. Leiblein,Jeffrey J. Reuer Pdf

Offering a practical and phenomenon-driven perspective, Strategy in a Turbulent Era expertly analyses questions relating to strategy in light of different forms of turbulence. From the global COVID-19 pandemic outbreak to the escalation in number and far reaching implications of new technologies, such as artificial intelligence and cryptocurrencies, this timely book explores how recent sources of turbulence are rapidly transforming the nature and dynamics of global competition.

Author : Vladimir Evgenʹevich Zakharov
Publisher : American Mathematical Soc.
Page : 212 pages
File Size : 50,8 Mb
Release : 1998
Category : Hamiltonian systems
ISBN : 0821841130

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Nonlinear Waves and Weak Turbulence by Vladimir Evgenʹevich Zakharov Pdf

This book is a collection of papers on dynamical and statistical theory of nonlinear wave propagation in dispersive conservative media. Emphasis is on waves on the surface of an ideal fluid and on Rossby waves in the atmosphere. Although the book deals mainly with weakly nonlinear waves, it is more than simply a description of standard perturbation techniques. The goal is to show that the theory of weakly interacting waves is naturally related to such areas of mathematics as Diophantine equations, differential geometry of waves, Poincare normal forms and the inverse scattering method.

Author : Arkady Tsinober
Publisher : Springer
Page : 229 pages
File Size : 54,5 Mb
Release : 2018-12-17
Category : Technology & Engineering
ISBN : 9783319995311

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The Essence of Turbulence as a Physical Phenomenon by Arkady Tsinober Pdf

Now in its second edition, this book clearly, concisely and comprehensively outlines the essence of turbulence. In view of the absence of a theory based on first principles and adequate tools to handle the problem, the “essence” of turbulence, i.e. what turbulence really is from a fundamental point of view, is understood empirically through observations from nature, laboratories and direct numerical simulations rather than explained by means of conventional formalistic aspects, models, etc., resulting in pertinent issues being described at a highly theoretical level in spite of the mentioned lack of theory. As such, the book highlights and critically reexamines fundamental issues, especially those of paradigmatic nature, related to conceptual and problematic aspects, key misconceptions and unresolved matters, and discusses why the problem is so difficult. As in the previous edition, the focus on fundamental issues is also a consequence of the view that without corresponding advances in fundamental aspects there is little chance of progress in any applications. More generally there is a desperate need for physical fundamentals of a great variety of processes in nature and technology in which turbulence plays a central role. Turbulence is omnipresent throughout the natural sciences and technology, but despite the vast sea of information available the book retains its brevity without oversimplifications, making it of interest to a broad audience.

Author : Tadele Mengesha,Abner J. Salgado
Publisher : Springer Nature
Page : 325 pages
File Size : 40,8 Mb
Release : 2023-09-12
Category : Mathematics
ISBN : 9783031340895

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A3N2M: Approximation, Applications, and Analysis of Nonlocal, Nonlinear Models by Tadele Mengesha,Abner J. Salgado Pdf

This volume collects papers based on plenary and invited talks given at the 50th Barrett Memorial Lectures on Approximation, Applications, and Analysis of Nonlocal, Nonlinear Models that was organized by the University of Tennessee, Knoxville and held virtually in May 2021. The three-day meeting brought together experts from the computational, scientific, engineering, and mathematical communities who work with nonlocal models. These proceedings collect contributions and give a survey of the state of the art in computational practices, mathematical analysis, applications of nonlocal models, and explorations of new application domains. The volume benefits from the mixture of contributions by computational scientists, mathematicians, and application specialists. The content is suitable for graduate students as well as specialists working with nonlocal models and covers topics on fractional PDEs, regularity theory for kinetic equations, approximation theory for fractional diffusion, analysis of nonlocal diffusion model as a bridge between local and fractional PDEs, and more.

Author : G. I. Barenblatt,Gérard Iooss,Daniel D. Joseph
Publisher : Pitman Advanced Publishing Program
Page : 388 pages
File Size : 49,9 Mb
Release : 1983
Category : Science
ISBN : UOM:39015053954635

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Nonlinear Dynamics and Turbulence by G. I. Barenblatt,Gérard Iooss,Daniel D. Joseph Pdf

Author : Arkady Tsinober
Publisher : Springer Science & Business Media
Page : 475 pages
File Size : 52,5 Mb
Release : 2009-08-29
Category : Technology & Engineering
ISBN : 9789048131747

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An Informal Conceptual Introduction to Turbulence by Arkady Tsinober Pdf

This fully revised second edition focuses on physical phenomena and observations in turbulence, and is focused on reversing misconceptions and ill-defined concepts. New topics include ergodicity, Eulerian versus Lagrangian descriptions, theory validation, and anomalous scaling.

Author : A. Tsinober
Publisher : Springer Science & Business Media
Page : 344 pages
File Size : 50,5 Mb
Release : 2001-11-30
Category : Science
ISBN : 9781402001109

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An Informal Introduction to Turbulence by A. Tsinober Pdf

This book is an informal introduction to the turbulence of fluids. The emphasis is placed on turbulence as a physical phenomenon. It addresses the unresolved issues, misconceptions, controversies, and major problems of the turbulence of fluids rather than the conventional formalistic elements and models. Little use is made of complicated formalisms; instead the emphasis is placed on an essentially informal qualitative form. The scope of the book is focused on the purely basic aspects of the turbulent flows of incompressible fluids. This book will certainly be of interest and use to graduate students as well as scientists active in fields where the turbulence of fluids is of importance. The book is intentionally written to appeal to a broad readership with the aim of making the turbulence of fluids interesting and comprehensible to the interested engineer.

Author : Sotiris K. Ntouyas
Publisher : MDPI
Page : 518 pages
File Size : 50,9 Mb
Release : 2020-11-09
Category : Mathematics
ISBN : 9783039432189

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Fractional Differential Equations, Inclusions and Inequalities with Applications by Sotiris K. Ntouyas Pdf

During the last decade, there has been an increased interest in fractional differential equations, inclusions, and inequalities, as they play a fundamental role in the modeling of numerous phenomena, in particular, in physics, biomathematics, blood flow phenomena, ecology, environmental issues, viscoelasticity, aerodynamics, electrodynamics of complex medium, electrical circuits, electron-analytical chemistry, control theory, etc. This book presents collective works published in the recent Special Issue (SI) entitled "Fractional Differential Equation, Inclusions and Inequalities with Applications" of the journal Mathematics. This Special Issue presents recent developments in the theory of fractional differential equations and inequalities. Topics include but are not limited to the existence and uniqueness results for boundary value problems for different types of fractional differential equations, a variety of fractional inequalities, impulsive fractional differential equations, and applications in sciences and engineering.

Author : Ramis Örlü,Alessandro Talamelli,Martin Oberlack,Joachim Peinke
Publisher : Springer
Page : 250 pages
File Size : 48,5 Mb
Release : 2017-06-26
Category : Technology & Engineering
ISBN : 9783319579344

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Progress in Turbulence VII by Ramis Örlü,Alessandro Talamelli,Martin Oberlack,Joachim Peinke Pdf

This volume collects the edited and reviewed contribution presented in the 7th iTi Conference in Bertinoro, covering fundamental and applied aspects in turbulence. In the spirit of the iTi conference, the volume is produced after the conference so that the authors had the opportunity to incorporate comments and discussions raised during the meeting. In the present book, the contributions have been structured according to the topics: I Theory II Wall bounded flows III Pipe flow IV Modelling V Experiments VII Miscellaneous topics

Author : Vallampati Ramachandra Prasad,Valter Silva,João Cardoso
Publisher : BoD – Books on Demand
Page : 264 pages
File Size : 54,6 Mb
Release : 2023-02-22
Category : Technology & Engineering
ISBN : 9781803562186

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Boundary Layer Flows by Vallampati Ramachandra Prasad,Valter Silva,João Cardoso Pdf

This book provides a comprehensive overview of boundary layer flows, including laminar and turbulent flows. Chapters discuss such topics as the nature of transition, the effect of two-dimensional and isolated roughness on laminar flow, and progress in the design of low-drag airfoils. They also present theoretical and experimental results in boundary layer flows and discuss directions for future research.

Author : Snezhana Hristova
Publisher : MDPI
Page : 190 pages
File Size : 47,8 Mb
Release : 2021-02-22
Category : Mathematics
ISBN : 9783036500744

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Recent Investigations of Differential and Fractional Equations and Inclusions by Snezhana Hristova Pdf

During the past decades, the subject of calculus of integrals and derivatives of any arbitrary real or complex order has gained considerable popularity and impact. This is mainly due to its demonstrated applications in numerous seemingly diverse and widespread fields of science and engineering. In connection with this, great importance is attached to the publication of results that focus on recent and novel developments in the theory of any types of differential and fractional differential equation and inclusions, especially covering analytical and numerical research for such kinds of equations. This book is a compilation of articles from a Special Issue of Mathematics devoted to the topic of “Recent Investigations of Differential and Fractional Equations and Inclusions”. It contains some theoretical works and approximate methods in fractional differential equations and inclusions as well as fuzzy integrodifferential equations. Many of the papers were supported by the Bulgarian National Science Fund under Project KP-06-N32/7. Overall, the volume is an excellent witness of the relevance of the theory of fractional differential equations.

Author : Vladimir V. Uchaikin
Publisher : Springer Science & Business Media
Page : 385 pages
File Size : 52,9 Mb
Release : 2013-07-09
Category : Science
ISBN : 9783642339110

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Fractional Derivatives for Physicists and Engineers by Vladimir V. Uchaikin Pdf

The first derivative of a particle coordinate means its velocity, the second means its acceleration, but what does a fractional order derivative mean? Where does it come from, how does it work, where does it lead to? The two-volume book written on high didactic level answers these questions. Fractional Derivatives for Physicists and Engineers— The first volume contains a clear introduction into such a modern branch of analysis as the fractional calculus. The second develops a wide panorama of applications of the fractional calculus to various physical problems. This book recovers new perspectives in front of the reader dealing with turbulence and semiconductors, plasma and thermodynamics, mechanics and quantum optics, nanophysics and astrophysics. The book is addressed to students, engineers and physicists, specialists in theory of probability and statistics, in mathematical modeling and numerical simulations, to everybody who doesn't wish to stay apart from the new mathematical methods becoming more and more popular. Prof. Vladimir V. UCHAIKIN is a known Russian scientist and pedagogue, a Honored Worker of Russian High School, a member of the Russian Academy of Natural Sciences. He is the author of about three hundreds articles and more than a dozen books (mostly in Russian) in Cosmic ray physics, Mathematical physics, Levy stable statistics, Monte Carlo methods with applications to anomalous processes in complex systems of various levels: from quantum dots to the Milky Way galaxy.

Author : Eun-jin Kim
Publisher : MDPI
Page : 300 pages
File Size : 41,7 Mb
Release : 2019-07-29
Category : Mathematics
ISBN : 9783039211081

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Intermittency and Self-Organisation in Turbulence and Statistical Mechanics by Eun-jin Kim Pdf

This book is a printed edition of the Special Issue Intermittency and Self-Organisation in Turbulence and Statistical Mechanics that was published in Entropy

Author : Tomas Bohr
Publisher : Cambridge University Press
Page : 373 pages
File Size : 41,5 Mb
Release : 1998-08-13
Category : Science
ISBN : 9780521475143

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Dynamical Systems Approach to Turbulence by Tomas Bohr Pdf

This book treats turbulence from the point of view of dynamical systems. In recent decades, turbulence has evolved into a very active field of theoretical physics. The modern theory of fractals and multifractals now plays a major role in turbulence research, and turbulent states are being studied as important dynamical states of matter, in a much broader context than hydrodynamics. The origin of this development is the approach to turbulence from the point of view of deterministic dynamical systems, and in this book it is shown how concepts developed for low dimensional chaotic systems can be applied to turbulent states.