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 |
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 DetailsAdvances in Soviet MathematicsVolume: 10; 1992; 172 ppMSC: 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.
ReadershipSpecialists 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
-
-
RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Requests
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.
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