Dynamical Systems and Nonlinear Partial Differential Equations

Abstract

This final report deals primarily with the study of infinite dimensional dynamical systems and, more specifically, with hyperbolic and parabolic partial differential equations. Part of the final report is devoted to showing that a nice dynamical system is defined for specific types of equations that occur often in models for physical systems. The remainder of the report belongs to the general category of the investigation of the qualitative properties of infinite dimensional flows; in particular, asymptotic behavior of solutions, stability and instability, scattering theory, attractors and Morse decompositions.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1989
Accession Number
ADA255356

Entities

People

  • Constantine M. Dafermos
  • Jack K. Hale
  • John Mallet-paret
  • Panagiotis E. Souganidis
  • Walter Strauss

Organizations

  • Brown University

Tags

Communities of Interest

  • Autonomy

DTIC Thesaurus Topics

  • Abstracts
  • Applied Mathematics
  • Classification
  • Differential Equations
  • Diffusion
  • Eigenvalues
  • Entropy
  • Equations
  • Equations Of State
  • Formulas (Mathematics)
  • Mathematical Analysis
  • Mathematics
  • Military Research
  • Partial Differential Equations
  • Phase Transformations
  • Real Variables
  • Transitions

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Control Systems Engineering.
  • Theoretical Analysis.