Differential equations model a large class of natural phenomena in sciences such as physics, astronomy, chemistry, biology, earth sciences, and so on. Some phenomena can be well approximated by equations depending on a single variable (ordinary differential equations, in short ODEs), while others require more complex modeling, which may depend on three or more spatial variables and possibly a time variable (partial differential equations, in short PDEs).
Traditionally, there has always been an interaction between ODEs and PDEs: sometimes they are studied with the same techniques, other times with different and complementary tools; the understanding of the one-dimensional phenomenon often opens the way to the study of the equation in several variables. For this reason, the specialists in nonlinear phenomena are often experts in both fields.
Following this long-standing tradition, we aim to organize a conference that stimulates the interaction between these two worlds, for the benefit of both. We expect both experienced and young researchers to acquire, from this interaction, new points of view and useful techniques.