Author : Paul K. Newton
Publisher : Springer Science & Business Media
Page : 430 pages
File Size : 16,41 MB
Release : 2013-03-09
Category : Mathematics
ISBN : 146849290X
This text is an introduction to current research on the N- vortex problem of fluid mechanics. It describes the Hamiltonian aspects of vortex dynamics as an entry point into the rather large literature on the topic, with exercises at the end of each chapter.
Author : Alexey V. Borisov
Publisher : Springer Science & Business Media
Page : 501 pages
File Size : 39,69 MB
Release : 2007-12-22
Category : Science
ISBN : 1402067445
This work brings together previously unpublished notes contributed by participants of the IUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence (Moscow, 25-30 August 2006). The study of vortex motion is of great interest to fluid and gas dynamics: since all real flows are vortical in nature, applications of the vortex theory are extremely diverse, many of them (e.g. aircraft dynamics, atmospheric and ocean phenomena) being especially important.
Author : A. Bishop
Publisher : Elsevier
Page : 497 pages
File Size : 37,95 MB
Release : 1982-01-01
Category : Mathematics
ISBN : 0080871720
Nonlinear Problems: Present and Future
Author : Albert Gyr
Publisher : Birkhäuser
Page : 464 pages
File Size : 18,25 MB
Release : 2012-12-06
Category : Science
ISBN : 3034886896
A collection of contributions on a variety of mathematical, physical and engineering subjects related to turbulence. Topics include mathematical issues, control and related problems, observational aspects, two- and quasi-two-dimensional flows, basic aspects of turbulence modeling, statistical issues and passive scalars.
Author : Angelo Vulpiani
Publisher : World Scientific
Page : 482 pages
File Size : 22,90 MB
Release : 2009-09-01
Category : Mathematics
ISBN : 9814467499
Chaos: from simple models to complex systems aims to guide science and engineering students through chaos and nonlinear dynamics from classical examples to the most recent fields of research. The first part, intended for undergraduate and graduate students, is a gentle and self-contained introduction to the concepts and main tools for the characterization of deterministic chaotic systems, with emphasis to statistical approaches. The second part can be used as a reference by researchers as it focuses on more advanced topics including the characterization of chaos with tools of information theory and applications encompassing fluid and celestial mechanics, chemistry and biology.The book is novel in devoting attention to a few topics often overlooked in introductory textbooks and which are usually found only in advanced surveys such as: information and algorithmic complexity theory applied to chaos and generalization of Lyapunov exponents to account for spatiotemporal and non-infinitesimal perturbations.The selection of topics, numerous illustrations, exercises and proposals for computer experiments make the book ideal for both introductory and advanced courses.
Author : Pedro J. Torres
Publisher : Springer
Page : 130 pages
File Size : 21,27 MB
Release : 2015-01-22
Category : Mathematics
ISBN : 9462391068
The book aims to provide an unifying view of a variety (a 'zoo') of mathematical models with some kind of singular nonlinearity, in the sense that it becomes infinite when the state variable approaches a certain point. Up to 11 different concrete models are analyzed in separate chapters. Each chapter starts with a discussion of the basic model and its physical significance. Then the main results and typical proofs are outlined, followed by open problems. Each chapter is closed by a suitable list of references. The book may serve as a guide for researchers interested in the modelling of real world processes.
Author : Tamás Tél
Publisher : Cambridge University Press
Page : 440 pages
File Size : 42,25 MB
Release : 2006-08-24
Category : Mathematics
ISBN : 9780521547833
A clear introduction to chaotic phenomena for undergraduate students in science, engineering, and mathematics.
Author : José Alexandre Gonçalves
Publisher : Springer Nature
Page : 810 pages
File Size : 36,24 MB
Release : 2020-09-08
Category : Technology & Engineering
ISBN : 3030586537
This book offers a timely and comprehensive snapshot of research and developments in the field of control engineering. Covering a wide range of theoretical and practical issues, the contributions describes a number of different control approaches, such adaptive control, fuzzy and neuro-fuzzy control, remote and robust control systems, real time an fault tolerant control, among others. Sensors and actuators, measurement systems, renewable energy systems, aerospace systems as well as industrial control and automation, are also comprehensively covered. Based on the proceedings of the 14th APCA International Conference on Automatic Control and Soft Computing, held on July 1-3, 2020, in Bragança, Portugal, the book offers a timely and thoroughly survey of the latest research in the field of control, and a source of inspiration for researchers and professionals worldwide.
Author : Gabriella Tarantello
Publisher : Springer Science & Business Media
Page : 335 pages
File Size : 45,57 MB
Release : 2008-04-16
Category : Science
ISBN : 0817646086
This monograph discusses specific examples of selfdual gauge field structures, including the Chern–Simons model, the abelian–Higgs model, and Yang–Mills gauge field theory. The author builds a foundation for gauge theory and selfdual vortices by introducing the basic mathematical language of gauge theory and formulating examples of Chern–Simons–Higgs theories (in both abelian and non-abelian settings). Thereafter, the Electroweak theory and self-gravitating Electroweak strings are examined. The final chapters treat elliptic problems involving Chern–Simmons models, concentration-compactness principles, and Maxwell–Chern–Simons vortices.
Author : Mikhail A. Sokolovskiy
Publisher : Springer Science & Business Media
Page : 392 pages
File Size : 33,51 MB
Release : 2013-08-28
Category : Science
ISBN : 3319007890
This book presents an extensive analysis of the dynamics of discrete and distributed baroclinic vortices in a multi-layer fluid that characterizes the main features of the large and mesoscales dynamics of the atmosphere and the ocean. It widely covers the case of hetonic situations as well as the case of intrathermocline vortices that are familiar in oceanographic and of recognized importance for heat and mass transfers. Extensive typology of such baroclinic eddies is made and analysed with the help of theoretical development and numerical computations. As a whole it gives an overview and synthesis of all the many situations that can be encountered based on the long history of the theory of vortex motion and on many new situations. It gives a renewed insight on the extraordinary richness of vortex dynamics and open the way for new theoretical, observational and experimental advances. This volume is of interest to experts in physical oceanography, meteorology, hydrodynamics, dynamic systems, involved in theoretical, experimental and applied research and lecturers, post-graduate students, and students in these fields.
