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Construction of Blowup Solutions for the Complex Ginzburg-Landau Equation with Critical Parameters
 
Giao Ky Duong Institute of Applied Mathematics, University of Economics, Ho Ch Minh City, Vietnam
Nejla Nouaili Université Paris Dauphine, Paris, France
Hatem Zaag Université Paris Dauphine, Paris, France
Softcover ISBN:  978-1-4704-6121-8
Product Code:  MEMO/285/1411
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-7481-2
Product Code:  MEMO/285/1411.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-6121-8
eBook: ISBN:  978-1-4704-7481-2
Product Code:  MEMO/285/1411.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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Construction of Blowup Solutions for the Complex Ginzburg-Landau Equation with Critical Parameters
Giao Ky Duong Institute of Applied Mathematics, University of Economics, Ho Ch Minh City, Vietnam
Nejla Nouaili Université Paris Dauphine, Paris, France
Hatem Zaag Université Paris Dauphine, Paris, France
Softcover ISBN:  978-1-4704-6121-8
Product Code:  MEMO/285/1411
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-7481-2
Product Code:  MEMO/285/1411.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-6121-8
eBook ISBN:  978-1-4704-7481-2
Product Code:  MEMO/285/1411.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: 2852023; 91 pp
    MSC: Primary 35

    View the abstract.

  • Table of Contents
     
     
    • Chapters
    • 1. Introduction
    • 2. Formal approach
    • 3. Formulation of the problem
    • 4. Existence
    • 5. Single point blow-up and final profile
    • A. Spectral properties of $\mathcal {L}_{\beta }$
    • B. Details of expansions of the potential terms: $V_1$ and $V_2$
    • C. Details of some expansions of $B(q)$
    • D. Details of expansions of $R^*(y,s, \theta ’(s))$
    • E. Formal derivation of constants $b$ and $\mu $
    • F. Cancellation of some coefficient in the ODE of $\tilde q_2$
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 2852023; 91 pp
MSC: Primary 35

View the abstract.

  • Chapters
  • 1. Introduction
  • 2. Formal approach
  • 3. Formulation of the problem
  • 4. Existence
  • 5. Single point blow-up and final profile
  • A. Spectral properties of $\mathcal {L}_{\beta }$
  • B. Details of expansions of the potential terms: $V_1$ and $V_2$
  • C. Details of some expansions of $B(q)$
  • D. Details of expansions of $R^*(y,s, \theta ’(s))$
  • E. Formal derivation of constants $b$ and $\mu $
  • F. Cancellation of some coefficient in the ODE of $\tilde q_2$
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.