Stochastic Tools in Turbulence
Stochastic Tools in Turbulence

Author: John L. Lumey

Publisher: Elsevier

Published: 2012-12-02

Total Pages: 209

ISBN-13: 0323162258

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Stochastic Tools in Turbulence discusses the available mathematical tools to describe stochastic vector fields to solve problems related to these fields. The book deals with the needs of turbulence in relation to stochastic vector fields, particularly, on three-dimensional aspects, linear problems, and stochastic model building. The text describes probability distributions and densities, including Lebesgue integration, conditional probabilities, conditional expectations, statistical independence, lack of correlation. The book also explains the significance of the moments, the properties of the characteristic function, and the Gaussian distribution from a more physical point of view. In considering fields, one must account for single-valued functions of one or more parameters, or collections of single-valued functions of one or more parameters such as time or space coordinates. The text also discusses multidimensional vector fields of finite energy, the characteristic eddies for a homogenous vector field, as well as, the distribution of solutions of an algebraic equation. Engineers, algebra students, and professors of statistics and advanced mathematics will find the book highly useful.

Nonlinear Phenomena in Mathematical Sciences
Nonlinear Phenomena in Mathematical Sciences

Author: V. Lakshmikantham

Publisher: Elsevier

Published: 2014-05-12

Total Pages: 1062

ISBN-13: 1483272052

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Nonlinear Phenomena in Mathematical Sciences contains the proceedings of an International Conference on Nonlinear Phenomena in Mathematical Sciences, held at the University of Texas at Arlington, on June 16-20,1980. The papers explore trends in nonlinear phenomena in mathematical sciences, with emphasis on nonlinear functional analytic methods and their applications; nonlinear wave theory; and applications to medical and life sciences. In the area of nonlinear functional analytic methods and their applications, the following subjects are discussed: optimal control theory; periodic oscillations of nonlinear mechanical systems; Leray-Schauder degree theory; differential inequalities applied to parabolic and elliptic partial differential equations; bifurcation theory, stability theory in analytical mechanics; singular and ordinary boundary value problems, etc. The following topics in nonlinear wave theory are considered: nonlinear wave propagation in a randomly homogeneous media; periodic solutions of a semilinear wave equation; asymptotic behavior of solutions of strongly damped nonlinear wave equations; shock waves and dissipation theoretical methods for a nonlinear Schr?dinger equation; and nonlinear hyperbolic Volterra equations occurring in viscoelasticity. Applications to medical and life sciences include mathematical modeling in physiology, pharmacokinetics, and neuro-mathematics, along with epidemic modeling and parameter estimation techniques. This book will be helpful to students, practitioners, and researchers in the field of mathematics.

Theoretical Magnetofluiddynamics
Theoretical Magnetofluiddynamics

Author: Henri Cabannes

Publisher: Elsevier

Published: 2012-12-02

Total Pages: 249

ISBN-13: 0323162320

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Theoretical Magnetofluiddynamics provides an overview of the state of knowledge in magnetofluiddynamics and its applications. Magnetofluiddynamics is concerned with the study of the interaction between magnetic fields and fluid conductors of electricity. This discipline serves to unite classical fluid mechanics with electromagnetism of media in motion; therefore, it is equally of interest to students of electrodynamics and to those of aerodynamics. The former always think of speeds which are of the order of the speed of light while the latter confine their attention to speeds which are of the order of the speed of sound. This book contains six chapters and begins by establishing equations of magnetofluiddynamics in detail, both for motion with shock waves and for continuous motion. Subsequent chapters deal with weak discontinuities or discontinuities in the derivatives of the characteristic flow quantities; strong discontinuities or discontinuities in the characteristic flow quantities; and one-dimensional motion, motion in ducts, and structure of shock waves; and motion past obstacles.

Multiphase Flow Phenomena And Applications: Memorial Volume In Honor Of Gad Hetsroni
Multiphase Flow Phenomena And Applications: Memorial Volume In Honor Of Gad Hetsroni

Author: Gennady Ziskind

Publisher: World Scientific

Published: 2018-02-09

Total Pages: 213

ISBN-13: 9813227400

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This volume is dedicated to a very special person, Professor Gad Hetsroni (1934-2015). His towering figure was familiar to researchers in heat transfer and multiphase flow all over the world. He was the founding Editor of the International Journal of Multiphase Flow and the person who defined and promoted the discipline around the journal. The unique community formed in this field during his lifetime gathers every three years for a major conference, the International Conference on Multiphase Flow, that most recent was held in May 2016 in Florence, Italy. This was the first time ever Gad did not attend ICMF. Friends and colleagues from many countries came to Florence to present their personal tributes and scientific papers honoring Gad. Reviewed and edited tributes and scientific papers dedicated to Gad from these memorial sessions comprise the core content of this memorial volume; certain persons who could not participate in the ICMF made later contributions.

IUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design
IUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design

Author: Marian Wiercigroch

Publisher: Springer Science & Business Media

Published: 2013-01-11

Total Pages: 442

ISBN-13: 9400757425

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Nonlinear dynamics has been enjoying a vast development for nearly four decades resulting in a range of well established theory, with the potential to significantly enhance performance, effectiveness, reliability and safety of physical systems as well as offering novel technologies and designs. By critically appraising the state of the art, it is now time to develop design criteria and technology for new generation products/processes operating on principles of nonlinear interaction and in the nonlinear regime, leading to more effective, sensitive, accurate, and durable methods than what is currently available. This new approach is expected to radically influence the design, control and exploitation paradigms, in a magnitude of contexts. With a strong emphasis on experimentally calibrated and validated models, contributions by top-level international experts will foster future directions for the development of engineering technologies and design using robust nonlinear dynamics modelling and analysis.

Proceedings of the 5th International Conference on Jets, Wakes and Separated Flows (ICJWSF2015)
Proceedings of the 5th International Conference on Jets, Wakes and Separated Flows (ICJWSF2015)

Author: Antonio Segalini

Publisher: Springer

Published: 2016-07-18

Total Pages: 603

ISBN-13: 3319306022

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This volume collects various contributions from the 5th International Conference on Jets, Wakes and Separated Flows (ICJWSF2015) that took place in Stockholm during June 2015. Researchers from all around the world presented their latest results concerning fundamental and applied aspects of fluid dynamics. With its general character, the conference embraced many aspects of fluid dynamics, such as shear flows, multiphase flows and vortex flows, for instance. The structure of the present book reflects the variety of topics treated within the conference i.e. Jets, Wakes, Separated flows, Vehicle aerodynamics, Wall-bounded and confined flows, Noise, Turbomachinery flows, Multiphase and reacting flows, Vortex dynamics, Energy-related flows and a section dedicated to Numerical analyses.

Introduction to Singular Perturbations
Introduction to Singular Perturbations

Author: Robert E. Jr. O'Malley

Publisher: Elsevier

Published: 2012-12-02

Total Pages: 215

ISBN-13: 0323162274

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Introduction to Singular Perturbations provides an overview of the fundamental techniques for obtaining asymptomatic solutions to boundary value problems. This text explores singular perturbation techniques, which are among the basic tools of several applied scientists. This book is organized into eight chapters, wherein Chapter 1 discusses the method of matched asymptomatic expansions, which has been frequently applied to several physical problems involving singular perturbations. Chapter 2 considers the nonlinear initial value problem to illustrate the regular perturbation method, and Chapter 3 explains how to construct asymptotic solutions for general linear equations. Chapter 4 discusses scalar equations and nonlinear system, whereas Chapters 5 and 6 explain the contrasts for initial value problems where the outer expansion cannot be determined without obtaining the initial values of the boundary layer correction. Chapters 7 and 8 deal with boundary value problem that arises in the study of adiabatic tubular chemical flow reactors with axial diffusion. This monograph is a valuable resource for applied mathematicians, engineers, researchers, students, and readers whose interests span a variety of fields.