Burgers-KPZ Turbulence

Göttingen Lectures

  • Authors
  • Wojbor A. Woyczyński
Book

Part of the Lecture Notes in Mathematics book series (LNM, volume 1700)

Table of contents

  1. Front Matter
    Pages I-XI
  2. Wojbor A. Woyczyński
    Pages 25-42
  3. Wojbor A. Woyczyński
    Pages 43-95
  4. Wojbor A. Woyczyński
    Pages 97-133
  5. Wojbor A. Woyczyński
    Pages 135-201
  6. Wojbor A. Woyczyński
    Pages 203-270
  7. Wojbor A. Woyczyński
    Pages 271-298
  8. Back Matter
    Pages 299-319

About this book

Introduction

These lecture notes are woven around the subject of Burgers' turbulence/KPZ model of interface growth, a study of the nonlinear parabolic equation with random initial data. The analysis is conducted mostly in the space-time domain, with less attention paid to the frequency-domain picture. However, the bibliography contains a more complete information about other directions in the field which over the last decade enjoyed a vigorous expansion. The notes are addressed to a diverse audience, including mathematicians, statisticians, physicists, fluid dynamicists and engineers, and contain both rigorous and heuristic arguments. Because of the multidisciplinary audience, the notes also include a concise exposition of some classical topics in probability theory, such as Brownian motion, Wiener polynomial chaos, etc.

Keywords

Brownian motion Burgers turbulence KPZ moxdel Probability theory nonlinear difffusions polynomial chaos random fields shock waves

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0093107
  • Copyright Information Springer-Verlag Berlin Heidelberg 1998
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-65237-3
  • Online ISBN 978-3-540-49480-5
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book