ABSTRACT
This chapter presents four examples of semiflows, generated by some specific initial-boundary value problems from mathematical physics. These semiflows admit a global attractor in a suitable phase space. The semiflows are: the hyperbolic perturbations of the viscous and nonviscous Cahn-Hilliard equations; extensible beam equation; the Navier-Stokes equations in two dimension of space; and Maxwell’s equations in a ferromagnetic medium. The chapter show that, at least when the perturbation parameter is sufficiently small, the semiflows generated by initial-boundary value problems admit global attractors, exponential attractors and inertial manifolds in a suitable phase space.
