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Dynamics Near the Subcritical Transition of the 3D Couette Flow II: Above Threshold Case
 
Jacob Bedrossian University of Maryland, College Park, MD
Pierre Germain Courant Institute of Mathematical Sciences, New York City, NY
Nader Masmoudi Courant Institute of Mathematical Sciences, New York City, NY
Dynamics Near the Subcritical Transition of the 3D Couette Flow II: Above Threshold Case
Softcover ISBN:  978-1-4704-7225-2
Product Code:  MEMO/279/1377
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-7231-3
Product Code:  MEMO/279/1377.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-7225-2
eBook: ISBN:  978-1-4704-7231-3
Product Code:  MEMO/279/1377.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
Dynamics Near the Subcritical Transition of the 3D Couette Flow II: Above Threshold Case
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Dynamics Near the Subcritical Transition of the 3D Couette Flow II: Above Threshold Case
Jacob Bedrossian University of Maryland, College Park, MD
Pierre Germain Courant Institute of Mathematical Sciences, New York City, NY
Nader Masmoudi Courant Institute of Mathematical Sciences, New York City, NY
Softcover ISBN:  978-1-4704-7225-2
Product Code:  MEMO/279/1377
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-7231-3
Product Code:  MEMO/279/1377.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-7225-2
eBook ISBN:  978-1-4704-7231-3
Product Code:  MEMO/279/1377.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: 2792022; 133 pp
    MSC: Primary 35; 76

    View the abstract.

  • Table of Contents
     
     
    • Chapters
    • 1. Introduction
    • 2. Outline of the proof
    • 3. Regularization and continuation
    • 4. Multiplier and paraproduct tools
    • 5. High norm estimate on $Q^2$
    • 6. High norm estimate on $Q^3$
    • 7. High norm estimate on $Q^1_0$
    • 8. High norm estimate on $Q^1_{\neq }$
    • 9. Coordinate system controls
    • 10. Enhanced dissipation estimates
    • 11. Sobolev estimates
    • A. Fourier analysis conventions, elementary inequalities, and Gevrey spaces
    • B. Some details regarding the coordinate transform
    • C. Definition and analysis of the norms
    • D. Elliptic estimates
  • Additional Material
     
     
  • 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
Volume: 2792022; 133 pp
MSC: Primary 35; 76

View the abstract.

  • Chapters
  • 1. Introduction
  • 2. Outline of the proof
  • 3. Regularization and continuation
  • 4. Multiplier and paraproduct tools
  • 5. High norm estimate on $Q^2$
  • 6. High norm estimate on $Q^3$
  • 7. High norm estimate on $Q^1_0$
  • 8. High norm estimate on $Q^1_{\neq }$
  • 9. Coordinate system controls
  • 10. Enhanced dissipation estimates
  • 11. Sobolev estimates
  • A. Fourier analysis conventions, elementary inequalities, and Gevrey spaces
  • B. Some details regarding the coordinate transform
  • C. Definition and analysis of the norms
  • D. Elliptic estimates
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.