Dynamical Systems and Turbulence, Warwick 1980
Author: D. A. Rand
Publisher: Springer
Published: 2006-11-14
Total Pages: 400
ISBN-13: 3540389458
DOWNLOAD EBOOKRead and Download eBook Full
Author: D. A. Rand
Publisher: Springer
Published: 2006-11-14
Total Pages: 400
ISBN-13: 3540389458
DOWNLOAD EBOOKAuthor: Tomas Bohr
Publisher: Cambridge University Press
Published: 2005-08-22
Total Pages: 372
ISBN-13: 9780521017947
DOWNLOAD EBOOKIn recent decades, turbulence has evolved into a very active field of theoretical physics. The origin of this development is the approach to turbulence from the point of view of deterministic dynamical systems, and this book shows how concepts developed for low dimensional chaotic systems are applied to turbulent states. This book centers around a number of important simplified models for turbulent behavior in systems ranging from fluid motion (classical turbulence) to chemical reactions and interfaces in disordered systems. The 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 occurring also in systems outside the realm of hydrodynamics. The book contains simplified models of turbulent behavior, notably shell models, coupled map lattices, amplitude equations and interface models.
Author: Philip Holmes
Publisher: Cambridge University Press
Published: 2012-02-23
Total Pages: 403
ISBN-13: 1107008255
DOWNLOAD EBOOKDescribes methods revealing the structures and dynamics of turbulence for engineering, physical science and mathematics researchers working in fluid dynamics.
Author: George R. Sell
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 208
ISBN-13: 1461243467
DOWNLOAD EBOOKThe articles in this volume are based on recent research on the phenomenon of turbulence in fluid flows collected by the Institute for Mathematics and its Applications. This volume looks into the dynamical properties of the solutions of the Navier-Stokes equations, the equations of motion of incompressible, viscous fluid flows, in order to better understand this phenomenon. Although it is a basic issue of science, it has implications over a wide spectrum of modern technological applications. The articles offer a variety of approaches to the Navier-Stokes problems and related issues. This book should be of interest to both applied mathematicians and engineers.
Author: Paul Manneville
Publisher: World Scientific
Published: 2010
Total Pages: 456
ISBN-13: 1848163924
DOWNLOAD EBOOKThis book (2nd edition) is a self-contained introduction to a wide body of knowledge on nonlinear dynamics and chaos. Manneville emphasises the understanding of basic concepts and the nontrivial character of nonlinear response, contrasting it with the intuitively simple linear response. He explains the theoretical framework using pedagogical examples from fluid dynamics, though prior knowledge of this field is not required. Heuristic arguments and worked examples replace most esoteric technicalities. Only basic understanding of mathematics and physics is required, at the level of what is currently known after one or two years of undergraduate training: elementary calculus, basic notions of linear algebra and ordinary differential calculus, and a few fundamental physical equations (specific complements are provided when necessary). Methods presented are of fully general use, which opens up ample windows on topics of contemporary interest. These include complex dynamical processes such as patterning, chaos control, mixing, and even the Earth's climate. Numerical simulations are proposed as a means to obtain deeper understanding of the intricacies induced by nonlinearities in our everyday environment, with hints on adapted modelling strategies and their implementation.
Author: Steven L. Brunton
Publisher: Cambridge University Press
Published: 2022-05-05
Total Pages: 615
ISBN-13: 1009098489
DOWNLOAD EBOOKA textbook covering data-science and machine learning methods for modelling and control in engineering and science, with Python and MATLABĀ®.
Author: Stephen Smale
Publisher: World Scientific
Published: 2000
Total Pages: 532
ISBN-13: 9789810249915
DOWNLOAD EBOOKThis invaluable book contains the collected papers of Stephen Smale. These are divided into eight groups: topology; calculus of variations; dynamics; mechanics; economics; biology, electric circuits and mathematical programming; theory of computation; miscellaneous. In addition, each group contains one or two articles by world leaders on its subject which comment on the influence of Smale's work, and another article by Smale with his own retrospective views.
Author: David A. Rand
Publisher:
Published: 1981
Total Pages: 390
ISBN-13:
DOWNLOAD EBOOKAuthor: Tomas Bohr
Publisher: Cambridge University Press
Published: 1998-08-13
Total Pages: 373
ISBN-13: 0521475147
DOWNLOAD EBOOKThis 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.
Author: Tapan K. Sengupta
Publisher: Cambridge University Press
Published: 2021-09-30
Total Pages: 643
ISBN-13: 1108490417
DOWNLOAD EBOOK"Present understanding of transition to turbulence has now been studied over one hundred and fifty years. The path the studies have taken posed it as a modal eigenvalue problem. Some researchers have suggested alternative models without being specific. First-principle based approach of receptivity is the route to build bridges among ideas for solving the Navier-Stokes equation for specific canonical problems. This book highlights the mathematical physics, scientific computing, and new ideas and theories for nonlinear analyses of fluid flows, for which vorticity dynamics remain central. This book is a blend of classic with distinctly new ideas, which establish different dynamics of flows, from genesis to evolution of disturbance fields with rigorously developed methods to tracing coherent structures amidst the seemingly random and chaotic fluid dynamics of transitional and turbulent flows"--