Properties of Global Attractors of Partial Differential Equations
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Properties of Global Attractors of Partial Differential Equations: (Advances in Soviet Mathematics)

Properties of Global Attractors of Partial Differential Equations: (Advances in Soviet Mathematics)


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About the Book

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.

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


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Product Details
  • ISBN-13: 9780821841099
  • Publisher: American Mathematical Society
  • Publisher Imprint: American Mathematical Society
  • Language: English
  • Weight: 567 gr
  • ISBN-10: 0821841092
  • Publisher Date: 01 Sep 1992
  • Binding: Hardback
  • Series Title: Advances in Soviet Mathematics


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Properties of Global Attractors of Partial Differential Equations: (Advances in Soviet Mathematics)
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