Dynamical Systems and Nonlinear Partial Differential Equations
Final rept. 1986-1989
BROWN UNIV PROVIDENCE RI DIV OF APPLIED MATHEMATICS
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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.
- Numerical Mathematics