Singular dynamics of strongly damped beam equation (Q1040605)

The authors study the dynamics of an integro-differential equation modeling a beam with strong damping. They introduce a simplified equation (which is formally the limit of the full equation as the small parameter tends to 0) and establish several results on singular convergence of solutions. These results allow them to show that isolated invariant sets of the full equation are continuations of isolated invariant sets of the limit equation with the same Conley index (and the same holds for Morse decompositions). Semicontinuity results for attractors are also obtained.