Alexandre Nolasco de Carvalho (Brazil)
Title: The Morse-decomposition of some non-autonomous problems
Abstract: We consider the forwards asymptotics of a non-autonomous scalar one-dimensional semilinear parabolic problem with a dissipative odd non-linearity. Using comparison, symmetry and the lap-number properties of solutions, we construct the Morse-decomposition for the skew-product attractor and for the uniform-attractor associated to this model. This is a prototype for the study of the forwards asymptotic dynamics of non-autonomous problems.