Attractors and dynamics in partial differential equations (Q2776593)

This paper is devoted to infinite dimensional dynamical systems and their global attractors. The author illustrates this concept by discussing a reaction-diffusion equation. The author also gives a survey of some of the recent results that have been obtained concerning the flow on the global attractor: connecting orbits, slow motion manifold, convergence properties and so on. Moreover the author considers a damped hyperbolic equations which in contrast to the reaction-diffusion equation does not generate a compact operator in the phase space. Finally, he discusses the dependence of global attractors on the parameters that occur in the governing equation.NEWLINENEWLINEFor the entire collection see [Zbl 0977.00028].