We study pattern formation and evolution for fourth-order problems. We are particularly interested in the study of stationary solutions, traveling waves, and self-similar solutions. By studying these solutions, we aim to describe qualitative dynamical phenomena, such as the presence of various time scales and coarsening phenomena. We are also interested in the effects of stochastic and non-autonomous perturbations on the qualitative behavior of solutions. The methods used range from the theory of ordinary equations to that of evolutionary problems, from the theory of attractors to that of random dynamical systems.
