Stochastic Tools In Turbulence Volume 12 Applied Mathematics And Mechanics
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| Author | : John L. Lumley |
| Publisher | : |
| Total Pages | : 204 |
| Release | : 1970 |
| Genre | : |
| ISBN | : |
The monograph focuses on the mathematical tools available for describing and solving problems relating to stochastic vector fields. The book has applicability beyond problems relating to turbulence, although its orientation arises from these problems. The mathematical level rests between that customarily observed in books for physicists and that for mathematicians. The employment of generalized functions helps to resolve many of the mathematical questions in a relatively simple way. The extensive appendices on the subject, as well as on Fourier transforms, tensors, and invariant theory, are significant in making the book mathematically self-contained. (Author).
| Author | : John Leask Lumley |
| Publisher | : |
| Total Pages | : 216 |
| Release | : 1970 |
| Genre | : Mathematics |
| ISBN | : |
| Author | : John L. Lumley |
| Publisher | : |
| Total Pages | : 194 |
| Release | : 1970 |
| Genre | : |
| ISBN | : |
| Author | : John L. Lumey |
| Publisher | : Elsevier |
| Total Pages | : 209 |
| Release | : 2012-12-02 |
| Genre | : Mathematics |
| ISBN | : 0323162258 |
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.
| Author | : V. Lakshmikantham |
| Publisher | : Elsevier |
| Total Pages | : 1062 |
| Release | : 2014-05-12 |
| Genre | : Mathematics |
| ISBN | : 1483272052 |
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.
| Author | : Henri Cabannes |
| Publisher | : Elsevier |
| Total Pages | : 249 |
| Release | : 2012-12-02 |
| Genre | : Science |
| ISBN | : 0323162320 |
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.
| Author | : |
| Publisher | : |
| Total Pages | : 124 |
| Release | : 1967 |
| Genre | : Aeronautics |
| ISBN | : |
| Author | : Gennady Ziskind |
| Publisher | : World Scientific |
| Total Pages | : 213 |
| Release | : 2018-02-09 |
| Genre | : Technology & Engineering |
| ISBN | : 9813227400 |
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.
| Author | : Marian Wiercigroch |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 442 |
| Release | : 2013-01-11 |
| Genre | : Technology & Engineering |
| ISBN | : 9400757425 |
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.
| Author | : Alexandre J. Chorin |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 181 |
| Release | : 2013-12-01 |
| Genre | : Mathematics |
| ISBN | : 1441987282 |
This book provides an introduction to the theory of turbulence in fluids based on the representation of the flow by means of its vorticity field. It has long been understood that, at least in the case of incompressible flow, the vorticity representation is natural and physically transparent, yet the development of a theory of turbulence in this representation has been slow. The pioneering work of Onsager and of Joyce and Montgomery on the statistical mechanics of two-dimensional vortex systems has only recently been put on a firm mathematical footing, and the three-dimensional theory remains in parts speculative and even controversial. The first three chapters of the book contain a reasonably standard intro duction to homogeneous turbulence (the simplest case); a quick review of fluid mechanics is followed by a summary of the appropriate Fourier theory (more detailed than is customary in fluid mechanics) and by a summary of Kolmogorov's theory of the inertial range, slanted so as to dovetail with later vortex-based arguments. The possibility that the inertial spectrum is an equilibrium spectrum is raised.
