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Properties of Global Attractors of Partial Differential Equations
 
Properties of Global Attractors of Partial Differential Equations
Hardcover ISBN:  978-0-8218-4109-9
Product Code:  ADVSOV/10
List Price: $143.00
MAA Member Price: $128.70
AMS Member Price: $114.40
eBook ISBN:  978-1-4704-4557-7
Product Code:  ADVSOV/10.E
List Price: $143.00
MAA Member Price: $128.70
AMS Member Price: $114.40
Hardcover ISBN:  978-0-8218-4109-9
eBook: ISBN:  978-1-4704-4557-7
Product Code:  ADVSOV/10.B
List Price: $286.00 $214.50
MAA Member Price: $257.40 $193.05
AMS Member Price: $228.80 $171.60
Properties of Global Attractors of Partial Differential Equations
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Properties of Global Attractors of Partial Differential Equations
Hardcover ISBN:  978-0-8218-4109-9
Product Code:  ADVSOV/10
List Price: $143.00
MAA Member Price: $128.70
AMS Member Price: $114.40
eBook ISBN:  978-1-4704-4557-7
Product Code:  ADVSOV/10.E
List Price: $143.00
MAA Member Price: $128.70
AMS Member Price: $114.40
Hardcover ISBN:  978-0-8218-4109-9
eBook ISBN:  978-1-4704-4557-7
Product Code:  ADVSOV/10.B
List Price: $286.00 $214.50
MAA Member Price: $257.40 $193.05
AMS Member Price: $228.80 $171.60
  • Book Details
     
     
    Advances in Soviet Mathematics
    Volume: 101992; 172 pp
    MSC: Primary 35; 58; 76

    The four papers in this volume examine attractors of partial differential equations, with a focus on investigation of elements of attractors. Unlike the finite-dimensional case of ordinary differential equations, an element of the attractor of a partial differential equation is itself a function of spatial variables. This dependence on spatial variables is investigated by asymptotic methods. For example, the asymptotics show that the turbulence generated in a tube by a large localized external force does not propagate to infinity along the tube if the flux of the flow is not too large. Another topic considered here is the dependence of attractors on singular perturbations of the equations. The theory of unbounded attractors of equations without bounded attracting sets is also covered. All of the articles are systematic and detailed, furnishing an excellent review of new approaches and techniques developed by the Moscow school.

    Readership

    Specialists in partial differential equations, dynamical systems, and mathematical physics.

  • Table of Contents
     
     
    • Articles
    • A. Babin — Asymptotic expansion at infinity of a strongly perturbed Poiseuille flow
    • V. Chepyzhov and A. Goritskii — Unbounded attractors of evolution equations
    • M. Skvortsov and M. Vishik — Attractors of singularly perturbed parabolic equations, and asymptotic behavior of their elements
    • V. Skvortsov and M. Vishik — The asymptotics of solutions of reaction-diffusion equations with small parameter
  • 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: 101992; 172 pp
MSC: Primary 35; 58; 76

The four papers in this volume examine attractors of partial differential equations, with a focus on investigation of elements of attractors. Unlike the finite-dimensional case of ordinary differential equations, an element of the attractor of a partial differential equation is itself a function of spatial variables. This dependence on spatial variables is investigated by asymptotic methods. For example, the asymptotics show that the turbulence generated in a tube by a large localized external force does not propagate to infinity along the tube if the flux of the flow is not too large. Another topic considered here is the dependence of attractors on singular perturbations of the equations. The theory of unbounded attractors of equations without bounded attracting sets is also covered. All of the articles are systematic and detailed, furnishing an excellent review of new approaches and techniques developed by the Moscow school.

Readership

Specialists in partial differential equations, dynamical systems, and mathematical physics.

  • Articles
  • A. Babin — Asymptotic expansion at infinity of a strongly perturbed Poiseuille flow
  • V. Chepyzhov and A. Goritskii — Unbounded attractors of evolution equations
  • M. Skvortsov and M. Vishik — Attractors of singularly perturbed parabolic equations, and asymptotic behavior of their elements
  • V. Skvortsov and M. Vishik — The asymptotics of solutions of reaction-diffusion equations with small parameter
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.