1998/08/03 by Barbara Niethammer, Niethammer, Barbara, Robert L. Pego +1
Mathematics · #35D05 (Secondary) #35Q72 #82C26 (Primary) #Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Mathematics #math.AP #math.DS #msc:35D05 #msc:35Q72 #msc:82C26
paper · pdf · doi:10.48550/arxiv.math/9808010
21 pages, LaTeX2e with amsfonts package
arxiv created 1998/08/03 · arxiv updated 2009/11/30
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.