In this talk, we will consider gradient structures for a discrete coagulation-fragmentation model, the Becker-Doering equation, and its macroscopic limit. We show that the convergence result obtained by Niethammer (J. Nonlinear Sci. 2003) can be extended to proof the convergence not only for solutions of the Becker-Doering equation towards the Lifshitz-Slyozov-Wagner equation of coarsening, but also the convergence of the associated gradient structures.

Furthermore, we will discuss the role of well-prepared initial data for the convergence statement and its relation to the relaxation of solutions of the Becker-Doering equation towards a quasistationary distribution dictated by the monomer concentration on the considered time-scale. Speaker(s): Andre Schlichting (University of Bonn, Germany)