On the initial-value problem in the Lifshitz-Slyozov-Wagner theory of   Ostwald ripening
  The LSW theory of Ostwald ripening concerns the time evolution of the size distribution of a dilute system of particles that evolve by diffusional mass transfer with a common mean field. We prove global existence, uniqueness and continuous dependence on initial data for measure-valued solutions with compact support in particle size.   These results are established with respect to a natural topology on the space of size distributions, one given by the Wasserstein metric which measures the smallest maximum volume change required to rearrange one distribution into another. 
Barbara Niethammer (1) and Robert L. Pego (2) ((1) University of Bonn,   (2) University of Maryland, College Park)