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


Personal Author(s) : Hale, Jack ; Dafermos, Constantine M ; Mallet-Paret, John ; Souganidis, Panagiotis E ; Strauss, Walter


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/a255356.pdf


Report Date : Jan 1989


Pagination or Media Count : 10


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.


Descriptors :   *DYNAMICS , *PARTIAL DIFFERENTIAL EQUATIONS , SCATTERING , DIFFERENTIAL EQUATIONS , EQUATIONS , INSTABILITY , DECOMPOSITION , BEHAVIOR , STABILITY , MODELS


Subject Categories : Numerical Mathematics


Distribution Statement : APPROVED FOR PUBLIC RELEASE