On the Initial-Value Problem in the Lifshitz--Slyozov--Wagner Theory of Ostwald Ripening
On the Initial-Value Problem in the Lifshitz--Slyozov--Wagner Theory of Ostwald Ripening
The Lifshitz--Slyozov--Wagner (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 …