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  • © 1998

Burgers-KPZ Turbulence

Göttingen Lectures

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

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Table of contents (8 chapters)

  1. Front Matter

    Pages I-XI
  2. Hopf-Cole formula and its asymptotic analysis

    • Wojbor A. Woyczyński
    Pages 25-42
  3. Statistical description, parabolic approximation

    • Wojbor A. Woyczyński
    Pages 43-95
  4. Hyperbolic approximation and inviscid limit

    • Wojbor A. Woyczyński
    Pages 97-133
  5. Forced Burgers turbulence

    • Wojbor A. Woyczyński
    Pages 135-201
  6. Passive tracer transport in Burgers' and related flows

    • Wojbor A. Woyczyński
    Pages 203-270
  7. Fractal Burgers-KPZ models

    • Wojbor A. Woyczyński
    Pages 271-298
  8. Back Matter

    Pages 299-319

About this book

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
  • partial differential equations

Bibliographic Information

  • Book Title: Burgers-KPZ Turbulence

  • Book Subtitle: Göttingen Lectures

  • Authors: Wojbor A. Woyczyński

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0093107

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1998

  • Softcover ISBN: 978-3-540-65237-3Published: 18 November 1998

  • eBook ISBN: 978-3-540-49480-5Published: 13 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: XII, 328

  • Topics: Differential Equations, Probability Theory

Buying options

eBook USD 39.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions