The Lifschitz-Slyozov equation with space-diffusion of monomers
Thierry Goudon, Frédéric Lagoutière, Léon Matar Tine, ,Laboratoire de Mathématiques, UMR 8628, CNRS-Université Paris-Sud 11, Bât. 425, Faculté des Sciences d'Orsay, Université Paris-Sud 11, F-91405 Orsay cedex, · Kinetic and Related Models · 2012
The Lifschitz--Slyozov system describes the dynamics of mass exchanges betweenmacro--particles and monomers in the theory of coarsening.We consider a variant of the classical model where monomers are subject to space diffusion.We establish the existence--uniqueness of solutions for a wide class of relevant data and kinetic coefficients.We also derive a numerical scheme to simulate the behavior of the solutions.