Non-perturbative Methods in Statistical Descriptions of Turbulence

This book provides a comprehensive overview of statistical descriptions of turbulent flows. Its main objectives are to point out why ordinary perturbative treatments of the Navier–Stokes equation have been rather futile, and to present recent advances in

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Jan Friedrich

Non-perturbative Methods in Statistical Descriptions of Turbulence

Progress in Turbulence - Fundamentals and Applications Volume 1

Series Editors Joachim Peinke, Institute of Physics and ForWind, Carl von Ossietzky University of Oldenburg, Oldenburg, Germany Christos Vassilicos, Department of Aeronautics, South Kensington Campus, Imperial College London, London, UK Martin Oberlack, Department of Mechanical Engineering, TU Darmstadt, Darmstadt, Germany

The series Progress in Turbulence publishes new developments and advances in the Turbulence, rapidly and informally but with a high quality. Turbulence presents a large number of aspects and problems, which are still unsolved and which challenge research communities in engineering as well as in physical and mathematical sciences both in fundamental and applied research. The very wide interest in turbulence is not only based on it being a difficult scientific problem but also on the important influence that turbulent flows have in the technical world and our daily life. The intent is to cover fundamental research as well as research related to applications of turbulence, technical and methodological issues, and multidisciplinary aspects. The series comprises three strands: monographs, conference/ workshop proceedings and reviews on progress in turbulence research to appear once every 4 years. Of particular value to both the contributors and the readership are the short publication time frame and the worldwide distribution, which enable both wide and rapid dissemination of research output.

More information about this series at http://www.springer.com/series/16269

Jan Friedrich

Non-perturbative Methods in Statistical Descriptions of Turbulence

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Jan Friedrich Département de Physique École Normale Supérieure de Lyon Lyon, Rhône, France

ISSN 2661-8168 ISSN 2661-8176 (electronic) Progress in Turbulence - Fundamentals and Applications ISBN 978-3-030-51976-6 ISBN 978-3-030-51977-3 (eBook) https://doi.org/10.1007/978-3-030-51977-3 © Springer Nature Switzerland AG 2021 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 impli

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