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Quasi-Periodic Traveling Waves on an Infinitely Deep Perfect Fluid Under Gravity
 
Roberto Feola Università degli Studi Romatre, Rome, Italy
Filippo Giuliani Politecnico di Milano, Milan, Italy
Softcover ISBN:  978-1-4704-6877-4
Product Code:  MEMO/295/1471
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-7771-4
Product Code:  MEMO/295/1471.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-6877-4
eBook: ISBN:  978-1-4704-7771-4
Product Code:  MEMO/295/1471.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
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Quasi-Periodic Traveling Waves on an Infinitely Deep Perfect Fluid Under Gravity
Roberto Feola Università degli Studi Romatre, Rome, Italy
Filippo Giuliani Politecnico di Milano, Milan, Italy
Softcover ISBN:  978-1-4704-6877-4
Product Code:  MEMO/295/1471
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-7771-4
Product Code:  MEMO/295/1471.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-6877-4
eBook ISBN:  978-1-4704-7771-4
Product Code:  MEMO/295/1471.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 2952024; 164 pp
    MSC: Primary 76; 37; Secondary 35

    View the abstract.

  • Table of Contents
     
     
    • Chapters
    • 1. Introduction
    • 2. Functional setting
    • 3. Normal forms and integrability properties of the pure gravity water waves
    • 4. Weak Birkhoff normal form
    • 5. The nonlinear functional setting
    • 6. Approximate inverse
    • 7. The linearized operator in the normal directions
    • 8. Symmetrization of the linearized operator at the highest order
    • 9. Block-diagonalization
    • 10. Reduction at the highest orders
    • 11. Linear Birkhoff normal form
    • 12. Inversion of the linearized operator
    • 13. The Nash–Moser nonlinear iteration
    • A. Flows and conjugations
    • B. Technical lemmata
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 2952024; 164 pp
MSC: Primary 76; 37; Secondary 35

View the abstract.

  • Chapters
  • 1. Introduction
  • 2. Functional setting
  • 3. Normal forms and integrability properties of the pure gravity water waves
  • 4. Weak Birkhoff normal form
  • 5. The nonlinear functional setting
  • 6. Approximate inverse
  • 7. The linearized operator in the normal directions
  • 8. Symmetrization of the linearized operator at the highest order
  • 9. Block-diagonalization
  • 10. Reduction at the highest orders
  • 11. Linear Birkhoff normal form
  • 12. Inversion of the linearized operator
  • 13. The Nash–Moser nonlinear iteration
  • A. Flows and conjugations
  • B. Technical lemmata
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.