### Self-similarity in coagulation equations with nonlocal drift

**Niethammer, B ***(Oxford)*

Monday 06 September 2010, 11:30-12:30

Seminar Room 1, Newton Institute

#### Abstract

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.