Upper Semicontinuity of Attractors for Approximations of Semigroups and Partial Differential Equations.

Abstract

Suppose a given evolutionary equation has a compact attractor and the evolutionary equation is approximated by a finite dimensional system. Conditions are given to ensure the approximate system has a compact attractor which converges to the original one as the approximation is refined. Applications are given to parabolic and hyperbolic partial differential equations.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1985
Accession Number
ADA170187

Entities

People

  • Genevieve Raugel
  • Jack K. Hale
  • Xiao-biao Lin

Organizations

  • Brown University

Tags

Communities of Interest

  • Autonomy
  • C4I

DTIC Thesaurus Topics

  • Banach Space
  • Boundary Value Problems
  • Computational Science
  • Differential Equations
  • Equations
  • Formulas (Mathematics)
  • Functional Analysis
  • Hilbert Space
  • Mathematics
  • Navier Stokes Equations
  • Partial Differential Equations
  • Real Numbers
  • Two Dimensional
  • Universities
  • Wave Equations

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.
  • Mathematical Modeling and Probability Theory.