Lecture Notes in Mathematics

Burgers-KPZ Turbulence

Göttingen Lectures

Authors: Woyczynski, Wojbor A.

Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-3-540-49480-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.95
price for USA
  • ISBN 978-3-540-65237-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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.

Table of contents (8 chapters)

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

    Woyczyński, Wojbor A.

    Pages 1-11

  • Hydrodynamic limits, nonlinear diffusions, and propagation of chaos

    Woyczyński, Wojbor A.

    Pages 13-24

  • Hopf-Cole formula and its asymptotic analysis

    Woyczyński, Wojbor A.

    Pages 25-42

  • Statistical description, parabolic approximation

    Woyczyński, Wojbor A.

    Pages 43-95

  • Hyperbolic approximation and inviscid limit

    Woyczyński, Wojbor A.

    Pages 97-133

Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-3-540-49480-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.95
price for USA
  • ISBN 978-3-540-65237-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Burgers-KPZ Turbulence
Book Subtitle
Göttingen Lectures
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1700
Copyright
1998
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-49480-5
DOI
10.1007/BFb0093107
Softcover ISBN
978-3-540-65237-3
Series ISSN
0075-8434
Edition Number
1
Number of Pages
XII, 328
Topics