Review of Nonlinear and Nonlocal Models
With the development of nonlinear dynamics in the last 50 years (see, e.g., Guckenheimer and Holmes 1983; Schuster 1988; Arrowsmith and Place 1990; Strogatz 1994) much has been learned about nonlinear systems. It became clear that instabilities and bifurc
- PDF / 13,122,491 Bytes
- 474 Pages / 439.42 x 683.15 pts Page_size
- 57 Downloads / 209 Views
Nonlinear, Nonlocal and Fractional Turbulence Alternative Recipes for the Modeling of Turbulence
Nonlinear, Nonlocal and Fractional Turbulence
Peter William Egolf • Kolumban Hutter
Nonlinear, Nonlocal and Fractional Turbulence Alternative Recipes for the Modeling of Turbulence
Peter William Egolf Institute of Theoretical Turbulence Research Niederlenz, Aargau, Switzerland
Kolumban Hutter VAW ETHZ Zürich, Switzerland
ISBN 978-3-030-26032-3 ISBN 978-3-030-26033-0 https://doi.org/10.1007/978-3-030-26033-0
(eBook)
© Springer Nature Switzerland AG 2020 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors, and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, expressed or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. The book cover image shows the ion and electron streamlines, colored by the magnitude of the flow vorticity, of the solar wind. This visualization reveals the hierarchical development of coherent structures in formations of current sheets and magnetic islands in fully developed turbulence. From Phys. Plasma, 20, 012303 (2013) with permission. © 2013 American Institute of Physics This Springer imprint is published by the registered company Springer Nature Switzerland AG. The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
Preface
Chaos and turbulence are closely related terms, describing “irregular motion.” This kind of irregularity with all its facets is a main topic discussed throughout this book. Chaos is omnipresent in the entire universe, in and on the earth, especially also in the atmosphere and oceans. The two terms “chaos” and “turbulence” are tightly related to order and disorder, the main ingredients in life, arts, music, etc. Music of a single frequency and that containing the entire frequency spectrum (white noise) would be annoying and boring. The highly varying mixture of order and disorder with different tempi and intensity gives our lives and us human beings the wonderful richness observed in so many features in the dy
Data Loading...
