Self-similarity in coagulation equations with nonlocal drift
Seminar Room 1, Newton Institute
In this talk we consider kinetic equations that model coarsening phenomena which involve transport of mass and rearrangement due to coalescence. One expects that solutions converge in the large-time regime to self-similar form. However, due to the nonlocal terms in the equations, the study of self-similar solutions is not straightforward. We discuss several strategies that allow to establish existence, uniqueness and decay properties of self-similar solutions.