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Local Well-Posedness and Break-Down Criterion of the Incompressible Euler Equations with Free Boundary
 
Chao Wang Peking University, Beijing, People’s Republic of China
Zhifei Zhang Peking University, Beijing, People’s Republic of China
Weiren Zhao Peking University, Beijing, People’s Republic of China
Yunrui Zheng Peking University, Beijing, People’s Republic of China and Qufu Normal University, Qufu, People’s Republic of China
Local Well-Posedness and Break-Down Criterion of the Incompressible Euler Equations with Free Boundary
Softcover ISBN:  978-1-4704-4689-5
Product Code:  MEMO/270/1318
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-6524-7
Product Code:  MEMO/270/1318.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-4689-5
eBook: ISBN:  978-1-4704-6524-7
Product Code:  MEMO/270/1318.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
Local Well-Posedness and Break-Down Criterion of the Incompressible Euler Equations with Free Boundary
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Local Well-Posedness and Break-Down Criterion of the Incompressible Euler Equations with Free Boundary
Chao Wang Peking University, Beijing, People’s Republic of China
Zhifei Zhang Peking University, Beijing, People’s Republic of China
Weiren Zhao Peking University, Beijing, People’s Republic of China
Yunrui Zheng Peking University, Beijing, People’s Republic of China and Qufu Normal University, Qufu, People’s Republic of China
Softcover ISBN:  978-1-4704-4689-5
Product Code:  MEMO/270/1318
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-6524-7
Product Code:  MEMO/270/1318.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-4689-5
eBook ISBN:  978-1-4704-6524-7
Product Code:  MEMO/270/1318.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: 2702021; 119 pp

    View the abstract.

  • Table of Contents
     
     
    • Chapters
    • 1. Introduction
    • 2. Tools of paradifferential operators
    • 3. Parabolic evolution equation
    • 4. Elliptic estimates in a strip
    • 5. Dirichlet-Neumann operator
    • 6. New formulation and paralinearization
    • 7. Estimate of the pressure
    • 8. Estimate of the velocity
    • 9. Proof of break-down criterion
    • 10. Iteration scheme
    • 11. Uniform energy estimates
    • 12. Cauchy sequence and the limit system
    • 13. From the limit system to the Euler equations
    • 14. Proof of Theorem
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
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  • Chapters
  • 1. Introduction
  • 2. Tools of paradifferential operators
  • 3. Parabolic evolution equation
  • 4. Elliptic estimates in a strip
  • 5. Dirichlet-Neumann operator
  • 6. New formulation and paralinearization
  • 7. Estimate of the pressure
  • 8. Estimate of the velocity
  • 9. Proof of break-down criterion
  • 10. Iteration scheme
  • 11. Uniform energy estimates
  • 12. Cauchy sequence and the limit system
  • 13. From the limit system to the Euler equations
  • 14. Proof of Theorem
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
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