Skip to main content
SpringerLink
Log in

Burgers-KPZ Turbulence

Göttingen Lectures

  • Book
  • © 1998

Overview

Authors:
  1. Wojbor A. Woyczyński
    View author publications

    You can also search for this author in PubMed   Google Scholar

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

This is a preview of subscription content, log in via an institution to check access.

Access this book

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

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (8 chapters)

  1. Front Matter

    Pages I-XI
    Download chapter PDF

  2. Shock waves and the large scale structure (LSS) of the universe

    • Wojbor A. Woyczyński
    Pages 1-11

  3. Hydrodynamic limits, nonlinear diffusions, and propagation of chaos

    • Wojbor A. Woyczyński
    Pages 13-24

  4. Hopf-Cole formula and its asymptotic analysis

    • Wojbor A. Woyczyński
    Pages 25-42

  5. Statistical description, parabolic approximation

    • Wojbor A. Woyczyński
    Pages 43-95

  6. Hyperbolic approximation and inviscid limit

    • Wojbor A. Woyczyński
    Pages 97-133

  7. Forced Burgers turbulence

    • Wojbor A. Woyczyński
    Pages 135-201

  8. Passive tracer transport in Burgers' and related flows

    • Wojbor A. Woyczyński
    Pages 203-270

  9. Fractal Burgers-KPZ models

    • Wojbor A. Woyczyński
    Pages 271-298

  10. Back Matter

    Pages 299-319
    Download chapter PDF
Back to top

Keywords

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.

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: Partial Differential Equations, Probability Theory and Stochastic Processes

Publish with us

Policies and ethics

Back to top

Search

Navigation