Accession Number:

ADA255356

Title:

Dynamical Systems and Nonlinear Partial Differential Equations

Descriptive Note:

Final rept. 1986-1989

Corporate Author:

BROWN UNIV PROVIDENCE RI DIV OF APPLIED MATHEMATICS

Report Date:

1989-01-01

Pagination or Media Count:

10.0

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.

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE