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Nonlinear Waves and Weak Turbulence
 
Edited by: V. E. Zakharov Landau Institute for Theoretical Physics, Moscow, Russia
Nonlinear Waves and Weak Turbulence
Hardcover ISBN:  978-0-8218-4113-6
Product Code:  TRANS2/182
List Price: $175.00
MAA Member Price: $157.50
AMS Member Price: $140.00
eBook ISBN:  978-1-4704-3393-2
Product Code:  TRANS2/182.E
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
Hardcover ISBN:  978-0-8218-4113-6
eBook: ISBN:  978-1-4704-3393-2
Product Code:  TRANS2/182.B
List Price: $340.00 $257.50
MAA Member Price: $306.00 $231.75
AMS Member Price: $272.00 $206.00
Nonlinear Waves and Weak Turbulence
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Nonlinear Waves and Weak Turbulence
Edited by: V. E. Zakharov Landau Institute for Theoretical Physics, Moscow, Russia
Hardcover ISBN:  978-0-8218-4113-6
Product Code:  TRANS2/182
List Price: $175.00
MAA Member Price: $157.50
AMS Member Price: $140.00
eBook ISBN:  978-1-4704-3393-2
Product Code:  TRANS2/182.E
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
Hardcover ISBN:  978-0-8218-4113-6
eBook ISBN:  978-1-4704-3393-2
Product Code:  TRANS2/182.B
List Price: $340.00 $257.50
MAA Member Price: $306.00 $231.75
AMS Member Price: $272.00 $206.00
  • Book Details
     
     
    American Mathematical Society Translations - Series 2
    Advances in the Mathematical Sciences
    Volume: 1821998; 197 pp
    MSC: Primary 76; Secondary 35;

    This book is a collection of papers on dynamical and statistical theory of nonlinear wave propagation in dispersive conservative media. Emphasis is on waves on the surface of an ideal fluid and on Rossby waves in the atmosphere. Although the book deals mainly with weakly nonlinear waves, it is more than simply a description of standard perturbation techniques. The goal is to show that the theory of weakly interacting waves is naturally related to such areas of mathematics as Diophantine equations, differential geometry of waves, Poincaré normal forms, and the inverse scattering method.

    Readership

    Graduate students and research mathematicians interested in the theory of nonlinear waves and its applications.

  • Table of Contents
     
     
    • Chapters
    • A. M. Balk and E. V. Ferapontov — Invariants of wave systems and web geometry
    • A. M. Balk and V. E. Zakharov — Stability of weak-turbulence Kolmogorov spectra
    • Valeri A. Kalmykov — Energy transfer in the spectrum of surface gravity waves by resonance five wave-wave interactions
    • E. Kartashova — Wave resonances in systems with discrete spectra
    • L. I. Piterbarg — Hamiltonian formalism for Rossby waves
    • V. E. Zakharov — Weakly nonlinear waves on the surface of an ideal finite depth fluid
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Advances in the Mathematical Sciences
Volume: 1821998; 197 pp
MSC: Primary 76; Secondary 35;

This book is a collection of papers on dynamical and statistical theory of nonlinear wave propagation in dispersive conservative media. Emphasis is on waves on the surface of an ideal fluid and on Rossby waves in the atmosphere. Although the book deals mainly with weakly nonlinear waves, it is more than simply a description of standard perturbation techniques. The goal is to show that the theory of weakly interacting waves is naturally related to such areas of mathematics as Diophantine equations, differential geometry of waves, Poincaré normal forms, and the inverse scattering method.

Readership

Graduate students and research mathematicians interested in the theory of nonlinear waves and its applications.

  • Chapters
  • A. M. Balk and E. V. Ferapontov — Invariants of wave systems and web geometry
  • A. M. Balk and V. E. Zakharov — Stability of weak-turbulence Kolmogorov spectra
  • Valeri A. Kalmykov — Energy transfer in the spectrum of surface gravity waves by resonance five wave-wave interactions
  • E. Kartashova — Wave resonances in systems with discrete spectra
  • L. I. Piterbarg — Hamiltonian formalism for Rossby waves
  • V. E. Zakharov — Weakly nonlinear waves on the surface of an ideal finite depth fluid
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.